Swati Mukhopadhyay

• B.Ed., M.Sc., Ph.D.
• Professor (Full) at University of Burdwan

This study offers an analysis of the gravity-driven thermally stratified laminar nanoliquid flow past a permeable stretching surface with vanishing flux of nanoparticles. Two-phase fluid model is used for the nanofluids. By the application of similarity transformations, the partial differential equations (PDEs) that govern the problem are converted...

An investigation is carried out to explore the combined effects of Thompson–Troian (T–T) slip and variable mass flux on the mass diffusion of unsteady flow of viscous liquid passing a permeable stretched surface. Constructive/destructive chemical reaction has also been considered in this study. In several engineering sectors including aerodynamics,...

The aim of the present study is to analyze the effects of thermo‐solutal nonlinear convection in a nanofluid flow past a vertical permeable plate in the presence of heat generation/absorption and a first‐order chemical reaction. The effects of Brownian motion and thermophoresis have been included in this study. By using similarity transformations,...

It is obvious that due to its higher viscosity, non-Newtonian fluid show better heat transport than the Newtonian fluid. Moreover, shear flow helps us to make our surrounding environment friendly. With this view point, an attempt has been taken in this paper to explore the two-dimensional flow of low electrically conducting Eyring–Prandtl fluid and...

The combined impacts of Thompson‐Troian slip and Stefan blowing on flow of nanoliquid over a vertical plate in attendance of shear flow have been studied. Nanofluid is generally used to enhance the thermal properties as well as heat transport of liquid. Moreover, Stefan blowing can enhance the heat transfer coefficient by lessening the thermal resi...

The influences of slip and activation energy on the magnetohydrodynamic (MHD) flow of hybrid nanofluid over a permeable stretching radiated surface in attendance of heat source/sink have been studied. Al2O3 and Cu nanoparticles are mixed up in water to produce a hybrid nanofluid which is very important in various industrial sectors as hybrid nanofl...

Combined impacts of prescribed surface heat and mass fluxes on nanoliquid flow over a vertical plate with shear flow have been inspected. A two‐phase model for nanofluid has been considered. By means of similarity alterations, partial differential equations which govern the problem under consideration are changed to ordinary ones and nonlinear equa...

Enhancement of “heat transfer” using “nanofluid” has diverse potential applications in heat exchangers, thermal management of electric devices, cooling of tractors, solar thermal systems, manufacturing of paper, and many others. Hence, the aim of the current investigation is to explore the impacts of “mixed convection” on “nanofluid flow” over a pe...

An explorationis carried out to examine mass diffusion of unsteady ‘boundary layer’ (bl)motionof viscous liquid passed a stretched leaky piecewith variable mass flux. Forseveral engineering applications, moving free stream isconsidered here. This makes this research unique. The leading‘partial differential equations’ (PDEs) accompanied bythe ‘bound...

An investigation is carried out to analyze the flow, heat and mass transport phenomena of nanofluids over a disk stretched radially in a porous medium. Besides nonlinear radiative heat flux and Arrhenius activation energy, multiple slips are considered in this model. This ensures the novelty of the present research. The main goal of the current inv...

The analysis of magnetohydrodynamic (MHD) Marangoni fluid flow, heat, and mass transport over a disk is considered in this article. The fluid is assumed to pass radially over a stretching disk. Suction/blowing at the boundary, internal heat generation/absorption, and a first-order chemical reaction are also considered. By using appropriate similari...

Water-based ‘nanofluid’ flow owing to an unsteady stretched surface is inspected in this paper considering Stefan blowing and thermal radiation. ‘Similarity transformations’ are applied to reduce the governing ‘partial differential equations’ (PDEs) for momentum, energy and concentration into ‘nonlinear’ ‘ordinary differential equations’ (ODEs). By...

The squeezing flow bears a major importance in everyday phenomena and has vast industrial and biomedical applications. The current study looks at the nanofluid flow among two infinite “parallel plates” that are squeezed. The velocity slip and first‐order compound response have been considered in this problem for a clear understanding of their conse...

Thermal energy and momentum transport in two-fluid systems are investigated. The hydrodynamic part of the problem was considered by Wang [“The boundary layers due to shear flow over a still fluid,” Phys. Fluids A 4, 1304–1306 (1992)] and Andersson and Mukhopadhyay [“Boundary layers due to shear flow over a still fluid: A direct integration approach...

The aim of this study is to present forced convective nanofluid flow over a moving plate embedded in an absorbent medium. Following Darcy law’s for porous medium, the flow analysis is explored in attendance of warmth basis/drop. The main objective of this study is to explore the effects of Brownian motion and thermophoresis. The plate is considered...

This paper deals with the flow of non-Newtonian nanoliquid past an unsteady stretched exterior in attendance of Stefan blowing/suction. Model for Casson liquid has been taken into account to represent the non-Newtonian liquid. Two phase fluid replica for nanofluid has been considered. Similarity alterations are applied to transform the leading pdes...

The aim of this paper is to examine the combined effects of unsteadiness and thermal radiation on the flow of a mixture nanoliquid due to a shrinking disk. Investigation of flow near a stagnation-point naturally arises in several industrial sectors and is useful owing to its significance in thermal enhancement. The motion is persuaded by a radially...

A numerical analysis has been presented for stream of a mixture nanoliquid over a slendering stretched sheet in company of an external magnetic meadow under boundary layer approximations. This investigation is performed to look at the impacts of variable thickness on balanced two-dimensional (2D) flow of a hybrid nanofluid under border-level approx...

The aim of the present analysis is to study the influence of Thompson and Troian slip on forced convective nanofluid flow over a permeable plate in Darcy porous medium in the presence of zero nanoparticle flux at the boundary. By the appropriate make-over, the foremost partial differential equations (PDEs) are abridged to ordinary differential equa...

The aim of this study is to present the existence of two-dimensional steady boundary layer flow of hybrid nanofluid over a diverging channel in the occurrence of an externally applied magnetic field. The walls of the channel are absorbent and subjected to either suction or injection of equivalent amount of the same type of fluid on both the walls....

The effects of slips on mixed convection nanofluid flow past a plate in the presence of first-order chemical reaction have been examined. To direct the flow, zero nanoparticle flux at the plate has been considered to advocate the rudiments missing from the plate exterior. This situation creates the replica appropriate to a variety of manufacturing...

Our intention in this article is to analyze the enhancement of heat and mass transfer of an electromagnetohydrodynamic incompressible flow through a stretching sheet. An electrically conducting non-Newtonian Jeffrey nanofluid is considered. The Cattaneo–Christov model of heat and mass flux is engaged to scrutinize the thermal relaxation properties....

The aspire of this article is to examine the consequences of warmth production/amalgamation on border level stream of sticky liquid due to an uneven stretched piece in absorbent medium having a variable exterior hotness. Resemblance answers of the altered leading equations are attained and the numerical answers of those self-alike equations are gai...

In our present work the flow of an upper shear driven ordinary viscous liquid above an another still nanofluid, influenced by natural phenomena and having a huge number of industrial applications has been considered. The lower fluid put into movement by interfacial shear. For the two-liquid problem, applying the similarity transformations the leadi...

Steady boundary layer mixed convection flow over a wedge moving parallel to a free stream in nanofluid having differently shaped nanoparticles is numerically investigated. The aspire of this article is to examine the combined influences of mixed convection, suction/blowing and variable shape of nanoparticles on motion of nanoliquid past a moving we...

The objective of the article is to analyse the forced convection nanofluid flow over a permeable plate in an absorbent medium using slip boundary conditions. A single-phase model for the nanofluid is used with variable shapes of nanoparticles. The partial differential equations (PDEs) of the model are altered into a set of non-linear ordinary diffe...

This article plans to report the consequences of Navier slip and Stefan blowing on forced convection nanofluid flow past a plate in presence of a magnetic field with zero nanoparticle flux at the boundary which has not yet been addressed by any researcher and indicates the novelty of our work Nanofluid is considered to be chemically reactive and co...

The aim of this article is to present the combined influences of Stefan blowing and Thompson and Troian slip on forced convection motion of nanoliquid past a non absorbent plate in attendance with the first order compound response. Two-phase model for nanoliquid has been used in the present analysis. By means of proper alterations the principal PDE...

In this article, the bioconvection of gyrotactic microorganisms past a stretched sheet embedded in a medium occupied with a water-based nanofluid has been studied. A stretched sheet of variable thickness has been considered here to unwrap the interesting features of bioconvective nanoliquid flow in the presence of gyrotactic. Using appropriate simi...

The aim of this article is to investigate the steady two‐dimensional flow of a magnetohydrodynamics Maxwell liquid over a stretched exterior having prescribed exterior hotness in the presence of changeable free stream temperature. Here the Maxwell liquid replica reflects non‐Newtonian liquid behavior. By means of similarity alterations, the leading...

The aspire of this article is to examine the combined influences of suction/injection and external magnetic field on forced convection motion of nanoliquid past an absorbent plate in attendance with the first order compound response. To manage the flow, zero nanoparticle flux at the border has been assumed to urge the elements left from the plate s...

We would like to acknowledge the misprinted terms in our published paper “Boundary layer flow and heat transfer of a Casson fluid past a symmetric porous wedge with surface heat flux l” [ Chin . Phys . B , 23 044702 (2014)]. Since only two misprints exist and the main results of the published paper are correct, we present the correct equations in t...

A mathematical model of physiological pulsatile flow of blood through a stenotic flexible artery in the presence of body acceleration is presented in this paper. Streaming blood is considered as a shear-thinning non-Newtonian fluid as proposed by Yeleswarapu (Evaluation of continuum models for characterizing the constitutive behaviour of blood, Ph....

This study explains the steady flow of a hybrid nanofluid due to a permeable shrinking sheet close to a stagnation region with suction/injection. By proper transformations, the leading differential equations, partial in nature, are reduced to nonlinear differential equations with a single independent variable. A combination of the Runge–Kutta metho...

A mathematical model has been developed to represent heat transfer in pulsatile blood flow through an artery having an aneurysm in its lumen occurring from different types of anomalous enlargement. Time-variant wall geometry has been considered and the streaming blood is taken as a non-Newtonian fluid obeying Cross viscosity model. With the help of...

An expanding sheet problem is more relevant when the thickness of the sheet is variable and it bears frequent applications in polymer press, paper production, metallic plate cooling, etc. On the other hand, activation energy is an important phenomenon of chemical reaction in flow dynamics of Newtonian and non-Newtonian fluids. The activation energy...

The unsteady three-dimensional flow of nanofluid over a stretching surface in the presence of a magnetic field and thermal radiation are investigated. Zero nanoparticle flux at the wall has been considered. Buongiorno’s model for nanofluid has been used in this study. Employing similarity transformations, the governing partial differential equation...

The effects of velocity slip and radiation on MHD flow and melting heat transfer of a micropolar fluid due to an exponentially stretched sheet are presented. By means of similarity transformations the leading partial differential equations are changed to a set of ordinary differential equations which are nonlinear. Numerical solutions of the nonlin...

The main objective of this paper is to investigate the effects of thermal radiation on Eyring–Powell fluid flowing over a power-law stretching sheet in presence of suction/blowing. Similarity transformations are used to find the self-similar form of the governing equations. It is established that for a particular value of power-law stretching veloc...

The present study describes the unsteady mixed convection nanofluid flow past a vertical shrinking porous surface in occurrence of slips and heat source/sink. Applying proper transformations, the foremost differential equations which are partial in nature are changed into non‐linear differential equations which are ordinary in nature. With the supp...

Nanofluid bioconvective channel flow is an essential aspect of the recent healthcare industry applications , such as biomedical processing systems. Thus, the present work examined the influence of nth order chemical reaction in an unsteady nanofluid bioconvective channel flow in a horizontal microchannel with expanding/ contracting walls. The suita...

This article aims to present the flow and heat transfer characteristics of a nanofluid past an elastic sheet having variable thickness in the presence of a magnetic field. Vanishing nanoparticle flux at the boundary has been taken into account for the passive control of nanoparticles. Two-phase model for the nanofluid has been considered. With the...

In this article, the three-dimensional Magnetohydrodynamics flow of a nanofluid over a horizontal non-linearly stretching sheet in bilateral directions under boundary layer approximation is addressed. A two-phase model has been used for the nanofluid. The influences of thermophoresis, Brownian motion and thermal radiation on heat and mass transfers...

This article aims to present the nanofluid flow over an exponentially porous shrinking sheet in the presence of velocity slip and thermal slip. Single-phase fluid model for nanofluid has been used. In this investigation, the effects of silver (Ag) nanoparticle in two different types of base fluids (water and kerosene oil) are investigated. Using si...

This paper intends to discuss the flow of a non-Newtonian fluid complying with Erying-Powell fluid model towards a power-law extended sheet in a free stream moving with power-law velocity in occurrence of suction/blowing and convective boundary condition. By means of similarity transformations the leading partial differential equations are reduced...

This study aims to report the boundary layer flow of nanofluid over an exponentially stretched sheet in the presence of velocity slip as well as thermal slip. Utilising similarity transformations, the governing momentum and temperature equations are converted into ordinary differential equations and then solved numerically by shooting technique. An...

The problem of unsteady boundary layer flow of a nanofluid over a stretching surface is studied. Heat transfer due to melting is analyzed. Using a similarity transformation the governing coupled nonlinear partial differential equations of the model are reduced to a system of nonlinear ordinary differential equations, and then solved numerically by...

In the present paper heat transfer characteristics for boundary layer forced convective nanofluid flow past a moving plate parallel to a moving stream embedded in a porous medium in the presence of heat source/sink are analyzed. A single-phase fluid model for nanofluid is used. The governing nonlinear partial differential equations are transformed...

The objective of the present study is to investigate the effects of variable viscosity on incompressible laminar pulsatile flow of blood through an overlapping doubly constricted tapered artery. To mimic the realistic situation, wall of the artery is taken to be flexible, and physiologically relevant pulsatile flow is introduced. The governing equa...

Steady boundary layer flow of nanofluid past an exponentially porous shrinking sheet in presence of heat and mass fluxes is presented. In this model the combined effects of Brownian motion and thermophoresis on heat transfer and nanoparticle volume fraction are considered. Similarity transformations are used to obtain the self-similar equations whi...

Pulsatile flow of blood in a blood vessel having time-dependent shape (diameter) is investigated numerically in order to understand some important physiological phenomena in arteries. A smooth axi-symmetric cosine shaped constriction is considered. To mimic the realistic situation as far as possible, viscosity of blood is taken to be non-uniform, a...

The aim of this paper is to present the effects of nonlinear convection on boundary layer flow of micropolar fluid over an exponentially stretching sheet in presence of exponentially moving free stream. Radiative heat transfer has also been considered. Using similarity transformations the governing partial differential equations are reduced to ordi...

The aim of this paper is to throw some light on the rheological study of pulsatile blood flow in a stenosed tapered arterial segment. Arterial wall is considered to be rigid and flexible separately for improving the similarity to the in vivo situation. The streaming blood is considered to be Newtonian. The governing nonlinear equations of motion ar...

This paper is aimed to throw a light on the steady boundary layer flow and heat transfer of a non-Newtonian Casson fluid over an exponentially permeable shrinking sheet in the presence of exponentially moving free stream with convective boundary condition. Using similarity transformations, the self-similar forms of the governing equations are obtai...

The aim of this article is to present the flow of blood through a narrow tapered axi-symmetric stenosed artery treating blood to be non-Newtonian. The non-Newtonian character of blood in small arteries at low rates of shear has been analyzed mathematically assuming that blood behaves as a Carreau fluid which is a generalized Newtonian fluid. The fl...

This article aims to present the steady boundary layer flow of nanofluid over an exponentially stretching permeable sheet in presence of slips at the boundary. The effects of Brownian motion and thermophoresis on heat and mass transfer are considered. Similarity transformations are used to transform the governing partial differential equations into...

The aim of the present paper is to discuss the boundary layer flow induced in a nanofluid due to a stretching permeable sheet in the presence of a magnetic field. Instead of no-slip boundary conditions, slips at the boundary have been considered. Casson fluid model was used to characterise the non-Newtonian fluid behaviour. The effects of Brownian...

The present study discloses the three dimensional flow and heat transfer of water-based nanofluid tempted by an extendable surface subject to the effects of couple stress and thermal radiation. Fe\(_{3}\)O\(_{4}\) nanoparticles in water-based couple stress nanofluid are considered. The consequence of nonlinear thermal radiation is sought. Using app...

Classical problem of steady boundary layer flow of nanofluid over an exponentially permeable shrinking sheet in presence of slip is investigated. The model used for nanofluid includes Brownian motion and thermophoresis effects. The governing equations for momentum, energy, and nanofluid solid volume fraction are transformed to ordinary differential...

A steady boundary layer flow of a non-Newtonian Casson fluid over a power-law stretching sheet is investigated. A self-similar form of the governing equation is obtained, and numerical solutions are found for various values of the governing parameters. The solutions depend on the fluid material parameter. Dual solutions are obtained for some partic...

The aim of this paper is to present the heat transfer characteristics for steady boundary layer flow of a non-Newtonian Casson fluid over a non-linear stretching sheet. Using the similarity transformations the self-similar forms of the governing equations are obtained. After then the numerical solutions are found out. It is noted that the Casson pa...

The aim of this chapter is to present results for flow and heat transfer past a wedge. Both static and moving wedges are considered. Moreover, forced convection as well as mixed convection flows are discussed in detail. Similarity transformations are used to obtain self-similar equations, which are then solved numerically by a fourth-order Runge-Ku...

Hydrodynamic flow over cylinders is investigated, and magnetohydrodynamic flow and heat transfer past a stretching cylinder have been considered. Self-similar equations are obtained with the help of similarity transformations. Analytic solutions have been obtained for some special cases. Numerical solutions are analyzed and discussed for a stretchi...

This chapter investigates the flow and heat transfer phenomena over a sphere. Flow and heat transfer characteristics are analyzed near the lower stagnation point. Mixed convection flow behavior is discussed in porous media. Darcy law is used. Effects of heat generation or absorption are also discussed. Finally, numerical solutions of these equation...

This chapter presents the heat or mass transfer characteristics for boundary layer flows past a stretching sheet. Importance and its applications in different fields of engineering and technology are highlighted. We discuss the flow heat or mass transfer characteristics for different types of stretching such as linear, power-law, exponential, unste...

This chapter aims to highlight heat and mass transfer characteristics for flow over a flat plate. Hear transfer has been analyzed for both forced convection and mixed convection flows. Static as well as moving plates have been considered. Mass transfer has been considered in the presence of a first-order chemical reaction. Analytic solutions have b...

In this chapter, the flow characteristics at a shrinking sheet are analyzed. Basic differences between the flow and heat/mass transfer past a stretching and shrinking sheet are brought out. Different types of shrinking velocities are considered. The heat or mass transfer characteristics for flow over different types of shrinking sheets are reported...

The aim of this chapter is to present an effective numerical technique for the solution of boundary layer fluid flow and heat/mass transfer problems. The governing equations for fluid mechanics are an inherently nonlinear set of partial differential equations and form a boundary value problem (BVP). Only for a few cases are the exact solutions avai...

Heat transfer characteristics of an incompressible viscous fluid past a plate embedded into a porous medium with a convective boundary condition are obtained by using the Darcy–Forchheimer–Brinkman model. The governing partial differential equations are reduced to nonlinear ordinary differential equations, and similarity solutions are obtained. The...

The flow of an upper shear-driven Newtonian fluid above an otherwise still non-Newtonian fluid is considered. The lower fluid is modelled as a generalized Newtonian fluid and set into motion by interfacial shear. By means of similarity transformations, the governing partial differential equations for the two-fluid problem transform exactly into two...

The aim of the paper is to investigate the flow of an incompressible viscous fluid past a nonlinearly shrinking permeable sheet. Partial slip condition is considered instead of no slip condition at the boundary. The self similar equations are obtained and then solved numerically by a shooting technique. Dual solutions are obtained for the flow past...

A mathematical model for steady boundary layer flow of nanofluid past an exponentially porous stretching sheet is presented. In this model, the combined effects of Brownian motion and thermophoresis on heat transfer and nanoparticle volume fraction in presence of variable heat and mass fluxes are considered. Similarity transformations are used and...

The steady boundary layer flow of a non-Newtonian Casson fluid in the neighbourhood of a stagnation point over a stretching sheet is investigated. The sheet moves non-linearly keeping origin fixed. Self-similar equation is obtained and the behaviours of dual solutions are analysed. The solution depends on the material parameter of the fluid. The fl...

Most of the equations governing the problems related to science and engineering are nonlinear in nature. As a result, they are inherently difficult to solve. Analytical solutions are available only for some special cases. For other cases, one has no easy means but to solve the problem must depend on numerical solutions. Fluid Flow, Heat and Mass Tr...

The effects of velocity slip and thermal slip on MHD boundary layer mixed convection flow and heat transfer of an incompressible fluid past a plate in presence of suction/blowing are presented. Using similarity transformations the governing partial differential equations are reduced to ordinary differential equations and the nonlinear equations are...

This paper presents the magnetohydrodynamic (MHD) boundary layer stagnation point flow with diffusion of chemically reactive species undergoing first-order chemical reaction over a permeable stretching sheet in presence of partial slip. With the help of similarity transformations, the partial differential equations corresponding to momentum and the...

A boundary layer analysis is presented for the fluid flow and heat transfer characteristics of an incompressible nanofluid flowing over a stretching isothermal circular cylinder with partial slip condition. Numerical results are obtained for the velocity, temperature and concentration distributions for several values of the parameters, namely, the...

The flow of a shear-driven upper fluid above an otherwise still fluid is considered. This two-fluid problem is transformed into two sets of ordinary differential equations coupled only at the interface. The two sets of ODEs are integrated simultaneously by means of a double-shooting technique for some different parameter values. The new direct inte...

This article numerically examines the boundary layer flow due to an exponentially stretching surface in the presence of an applied magnetic field. Casson fluid model is used to characterize the non-Newtonian fluid behavior. The flow is subjected to suction/blowing at the surface. Analysis is carried out in presence of thermal radiation and prescrib...

Unsteady two-dimensional flow of a Maxwell fluid over a stretching surface in a porous medium subjected to suction/blowing is investigated. The upper-convected Maxwell fluid model is used to characterize the non-Newtonian fluid behaviour. With the help of similarity transformations, the boundary layer equation corresponding to the momentum equation...

An analysis is carried out to study the steady two-dimensional flow of an incompressible viscous fluid past a porous deformable sheet, which is stretched in its own plane with a velocity proportional to the distance from the fixed point subject to uniform suction or blowing. A uniform shear flow of strain rate β is considered over the stretching sh...

The aim of this paper is to investigate numerically the boundary layer forced convection flow of a Casson fluid past a symmetric porous wedge. Similarity transformations are used to convert the governing partial differential equations into ordinary ones. With the help of the shooting method, the reduced equations are then solved numerically. Compar...

The boundary layer flow and mass transfer towards an exponentially stretching porous sheet embedded in a stratified medium is presented in this analysis. A first-order constructive/destructive chemical reaction is also considered. Similarity transformations were used to convert the partial differential equations corresponding to the momentum and co...

Effects of velocity and thermal slip conditions in the mixed convection flow are addressed in the presence of heat source/sink. An incompressible fluid saturates the porous medium. Similarity transformations reduce the governing partial differential equations into ordinary differential equations. Numerical solution of the resulting problems is disc...

A mathematical model is presented for analyzing the effects of MHD on boundary layer forced convective flow and heat transfer of an incompressible fluid past a porous plate embedded in a Darcy porous medium. Thermal radiation term is considered in the energy equation. The similarity solutions for the problem are obtained and the reduced nonlinear o...

An analysis of the heat transfer for a boundary layer forced convective flow past a moving permeable flat surface parallel to a moving fluid is presented. Prescribed surface temperature at the boundary is considered. A thermal radiation term in the energy equation is considered. The similarity solutions for the problem are obtained and the reduced...

The unsteady two-dimensional flow of a non-Newtonian fluid over a stretching surface having a prescribed surface temperature is investigated. The Casson fluid model is used to characterise the non-Newtonian fluid behaviour. Similarity transformations are employed to transform the governing partial differential equations into ordinary differential e...

The boundary layer flow of a viscous incompressible fluid toward a porous nonlinearly stretching sheet is considered in this analysis. Velocity slip is considered instead of no-slip condition at the boundary. Similarity transformations are used to convert the partial differential equation corresponding to the momentum equation into nonlinear ordina...