U. S. Mahabaleshwar

Davangere University · Department of Mathematics

Present study explains about unsteady Casson nanoliquid film flow over a surface moving with velocity Uw=λx/t. The governing momentum equation is reduced to ODE by using corresponding similarity transformation, which is then tackled by employing numerical technique. The problem is analysed for both two-dimensional film flow and axisymmetric film fl...

The investigation is carried to observe the impact of radiation on the MHD couple stress hybrid nanofluid over porous sheet with dissipation. The water based MHD couple stress hybrid nanofluid flow due to porous shrinking sheet with thermal radiation and viscous dissipation has range of engineering applications dealing with energy distribution, sol...

The present investigation is carried out to predict the flow characteristics of a micropolar liquid that is infused with ternary nanoparticles across a stretching/shrinking surface under the impact of chemical reactions and radiation. Here, three dissimilarly shaped nanoparticles (copper oxide, graphene and copper nanotubes) are suspended in H2O to...

The problems of mixed convection viscoelastic fluid flow and heat transfer past a permeable stretching sheet are investigated considering the suction/injection, radiation and thermo-diffusion effects and thermophoresis. The fluid under consideration is water-based and consists of three distinct shaped nanoparticles with the claim of superior heat t...

The present paper investigates analytically a continuous stream of viscoelastic fluid and magnetohydrodynamic flow of second‐grade fluids owing to protracted sheets in a permeable medium with the help of the Cattaneo–Christov pattern. This idea is a new generalization of the classical Fourier law. Also, in this analysis, heat as well as mass transf...

Considertwo-dimensional steady axisymmetric flow of incompressible fluid with graphene nanoparticles between two infinite stretching disks with accelerated velocity and magnetic field of strength B0is applied to the flow at the angleτ.The similarity transformation technique is adopted to find the analytical solution for considered Navier Stokes equ...

In this research, we investigated the wall jet problem for a hybrid nanofluid with MHD, thermal radiation, velocity slip, and convective boundary conditions. After converting the governing partial differential equations into nonlinear ordinary ones, by using the proper similarity transformations, they were theoretically solved in view of the hyperg...

The present article describes the unsteady flow of a couple stress via a ternary hybrid nanofluid on a stretching surface with porous media. The nanofluid exhibits important properties for increasing heat transmission, and it is widely used in manufacturing and industrial applications. The basic similarity equations have been discovered to accommod...

Current work portrays the flow of Marangoni convection Magneto hydrodynamics Casson fluid with carbon nanotubes under the effect of transpiration and radiation. The carbon nanotube particles namely water-single wall carbon nanotubes are inserted in the fluid to enhance better thermal efficiency. This type of flow problems is applicable for real lif...

The consequence of magnetohydrodynamics (MHD) flow on entropy generation analysis and thermal radiation for carbon nanotubes via a stretched surface through a magnetic field has been discovered. The governing partial differential equations are altered into ordinary differential equations with the aid of the similarity variable. Here, water is consi...

This article focuses on analytic solutions for Newtonian fluid flow with slip and mass transpiration on a porous stretching sheet using the differential transform method and Pade approximants of an exceptionally nonlinear differential equation. The impacts of different parameters including mass transpiration (suction/injection), Navier's slip, and...

This study investigates the behavior of carbon nanotubes (CNT) approaching an unsteady flow of a Newtonian fluid over a stagnation point on a stretching surface employing porous media. It flows when the liquid begins to move with the progression of time. Heat exchange with the environment has an impact on the flow. The implicitly limited component...

The current work shows an incline MHD and Casson fluid flow with a mixed convective boundary layer with hybrid nanofluid Cu–Al2O3/water flow over a stretching/shrinking sheet. The present study is analyzed using an Al2O3–Cu/H2O hybrid nanofluid with a fixed Prandtl number of 6.8. The governing equation of highly nonlinear partial differential equat...

In this article, we propose a mathematical model for the flow and heat transfer characteristics of a non-Newtonian fluid past a porous and nonlinearly stretching sheet. The fluid is assumed to be immersed in a graphene-water nanofluid in the presence of mass transpiration and thermal radiation. A set of suitable similarity transformations are used...

This examination is carried out on the two-dimensional magnetohydrodynamic problem for a steady incompressible flow over a porous medium. The Cu−Al2O3 nanoparticles are added to the water base fluid in order to improve thermal efficiency. The transverse magnetic field with strength B0 is applied. The governing equations formed for the defined flow...

Hybrid nanofluids (HNFs) comprise combinations of different nanoparticles suspended in base fluid. Applications of such nanofluids are rising in the areas of energy and biomedical engineering including smart (functional) coatings. Motivated by these developments, the present article examines theoretically the magnetohydrodynamic coating boundary la...

The current work studies the motion of viscoelastic liquid saturated with carbon nanotubes over a stretching surface in a Darcy porous medium analytically below an influence of Cattaneo-Christov heat flux. The carbon nanotubes (CNTs) act as nanoparticles which are then appended into the base fluid. Water and kerosene are used as a base fluid with t...

An examination is carried out for three-dimensional incompressible viscoelastic fluid flow over a porous stretching/shrinking sheet with hybrid nanoparticles copper-alumina (Cu−Al2O3) in base fluid water (H2O). The uniform magnetic field of strength B0 is applied perpendicular to the fluid flow and considered the Navier slip. The mass transfer is c...

In several diseases we use number of nano-medicines, these nano-medicines are immensely used in the cancer treatment, the cancer disease affecting lots of people on every year. Numerous researchers are as yet searching for more variable approaches to forestall, recognize, and treat it. In modern era, mathematical modeling has arisen to understand t...

A Steady 2’ D flow of graphene-water Casson nanofluid due to a stretching/shrinking sheet is examined. The thermal radiation and heat source/sink parameters effects are considered. Utilizing similarity transformations, the nonlinear PDE’s are converted into a nonlinear ODE’s with reduced boundary conditions. Hence, the exact analytical solutions ha...

Hybrid nanofluid wall jet problem of Glauert type has been investigated under effects of the thermal radiation, suction parameter, moving parameter, slip velocity and temperature jumps. Via similarity variables governing equations are converted to system of ODEs. Then, resulted equations are solved exactly for velocity and temperature field in the...

Current article investigates the non-Newtonian MHD flow and heat transfer of copper-alumina/water hybrid nanofluid due to permeable stretching/shrinking surface with full slip model. The system of nonlinear partial differential equations was transformed to a system of ordinary differential equations via proper similarity variables. On obtaining exa...

The aim is to investigate the application of nanofluids for improving the heat transfer in a backward-facing step channel. Numerical simulations are performed using single-phase models for both Newtonian and non-Newtonian fluids in the Reynolds number range 280-470. Constant and temperature-dependent thermo-physical properties of different volume f...

The invention of carbon nanotubes (CNT) has a wide range of industrial and medical applications. The notion of boundary layer flow is used in medicine, particularly in nanomedicine, and the use of magnetic fields is used to treat cancer tumour growth. The governing PDEs are altered into ODEs with the help of suitable transformations. The mass trans...

The current article explains the 3-D MHD fluid flow under the impact of a magnetic field with an inclined angle. The porous sheet is embedded in the flow of a fluid to yield the better results of the problem. The governing PDEs are mapped using various transformations to convert in the form of ODEs. The yielded ODEs momentum equation is examined an...

Current work studies the magnetohydrodynamics (MHD) flow of the boundary layer and heat transfer with carbon nanotubes. Furthermore, the velocity and temperature profiles are examined using different physical parameters. The governing equations are reduced to highly nonlinear partial differential equation and ordinary differential equation via simi...

The current work investigates the thermohydrodynamic attribution of boundary layer flow of an incompressible liquid with carbon nanotubes (CNTs) of two types, viz. SWCNTs and MWCNTs, considering the mass transpiration and radiation effect. Consequently, the employed CNTs are examined with promising prospective for the heat transfer applications. Th...

An inclined MHD (Magnetohydrodynamics) micropolar fluid flow due to stretching/shrinking sheet in the presence of mass transpiration and thermal radiation is examined in the present analysis. The governing non-linear PDEs (Partial differential equations) are altered into ODEs (Ordinary differential equations) by using similarity variables. These ty...

The current work describes the 2 dimensional hybrid nanofluid (HNF) flow of incompressible wall jet with mass transpiration, heat transfer and radiation effect, where the jet streamwise velocity varies in a power-law. On applying the appropriate similarity transformations to these equations, a system of nonlinear ordinary differential equation (ODE...

The current work mainly discusses the vital roles of SWCNTs and MWCNTs under the influence of the flow of magnetohydrodynamics nanofluids passed over the stretching/shrinking sheet under the repercussions of thermal radiation and Newtonian heating by analytical method. For this aim, SWCNTs and MWCNTs are infused with kerosene oil, engine oil, and w...

An investigation of 2D laminar magnetohydrodynamics couple stress hybrid nanofluid is performed with inclined magnetic field over the stretching/-shrinking surface embedded in porous media. The quiescent water-based nanofluid is subjected to the external force by pulling the two ends of the sheet with equal magnitude and opposite forces. The govern...

A steady-state, two-dimensional flow of Rivlin-Ericksen magnetohydrodynamics (MHD) fluid flow induced by stretching of the sheet of porous medium considering heat and mass transfer is investigated in the present analysis. The fluid flow is influenced by a uniform magnetic field. The inverse Darcy model, as well as thermohydrodynamic characteristics...

The present work is focused on the slip flow of an electrically conductive viscoelastic fluid over a porous stretching/shrinking surface with mass transpiration and radiation. The closed-form analytical solutions for non-dimensional highly nonlinear governing equations consist of conservation of momentum, species, and energy are derived in the form...

The current study explains the hybrid nanofluid flow and transfer of heat with radiation and mass transpiration. The velocity slips and thermal jump condition is also taken in governing equation respectively. The solid volume fractions of Al 2 O 3 -Cu/H 2 O hybrid nanofluid are considered tin the entire calculation. The governing PDEs are altered i...

The inclined magnetohydrodynamics and heat transfer on non-Newtonian fluid flows through a stretching/shrinking sheet is investigated the present analysis. The conservation of mass, momentum and energy equations are non-dimensionalised into the set of highly nonlinear ODEs by using similarity transformation. An analytical expression is obtained for...

In the present paper, an MHD three-dimensional non-Newtonian fluid flow over a porous stretching/shrinking sheet in the presence of mass transpiration and thermal radiation is examined. This problem mainly focusses on an analytical solution; graphene water is immersed in the flow of a fluid to enhance the thermal efficiency. The given non-linear PD...

The current work investigates the steady, 2D laminar flow of effect of mass transpiration and Navier slip on the flow of Walters’ liquid B flow due to porous stretching/shrinking with heat and mass transfer. The governing equations which are a set of highly nonlinear partial differential equations are converted into a set of highly nonlinear ordina...

In this article, an exact analytical solution of a hybrid nanofluid (HNF) flow over a stretching/shrinking sheet in the presence of mass transpiration (suction/injection) and radiation is investigated. The governing PDEs are first transformed into ODEs with the help of similarity variables. Further, an exact analytical solution of this problem, inc...

A Magnetohydrodynamic (MHD) non-Newtonian liquid flow caused by porous stretching/shrinking sheet with mass transpiration and MHD in a Darcy-Brinkmann model is investigated. This type of flow problem is significant in industrial processes involving polymer extrusion, metal spinning, metal thinning, polymer fiber, glass blowing, manufacturing of pet...

The steady magnetohydrodynamics (MHD) incompressible hybrid nanofluid flow and mass transfer due to porous stretching surface with quadratic velocity is investigated in the presence of mass transpiration and chemical reaction. The basic laminar boundary layer equations for momentum and mass transfer, which are non-linear partial differential equati...

In the current work, we have investigated the flow past a semi-infinite porous solid media, after presenting a similarity transformation, governing equations mapped to a system of non-linear PDE. The flow of a dusty fluid and heat transfer through a porous medium have few applications, viz., the polymer processing unit of a geophysical, allied area...

The present article makes on the presence of the magnetohydrodynamic (MHD) flow of an electrically conducting Newtonian fluid over a superlinear stretching/shrinking sheet. A similarity transformation is utilized to interpret the representing construction of nonlinear PDEs by nonlinear ODEs. These equations are solved analytically along with the co...

The inclined magnetohydrodynamic (MHD) unsteady flow and heat transfer of Casson hybrid nanofluid (HNF) due to porous stretching sheet is investigated. In the present paper we analyze the Casson fluid unsteady flow over permeable flat plate in the presence of inclined magnetic field and heat transfer of fluid with the effect of thermal radiation. T...

The influence of inclined magnetic field and heat and mass transfer of a hydromagnetic fluid on stretching/shrinking sheet with Stefan blowing effects and radiation has been investigated. The elementary viscous equations for momentum, heat and mass transfer, which are highly nonlinear partial differential equations, are mapped into highly nonlinear...

In this paper, the effect of partial slip and heat transfer on an unsteady laminar boundary layer liquid film flow over a stretching surface with porous media subjected to radiation, viscous dissipation and heat source/sink is studied. The time dependent laminar boundary layer equations are reduced to a set of nonlinear ordinary differential equati...

The present investigation is focused on the study of a micropolar flow in a porous medium subject to inclined magnetic field, mass transpiration and internal radiation. The analytical solutions of the flow and temperature fields were derived in closed forms for the first time here by using similarity transformations. The transformed velocity, micro...

The aim of this paper is the investigation of heat transfer regarding the cases of both stretching and shrinking sheets with a sponge-like horizontal wall that allows for mass transpiration. The effects of Prandtl number, radiation and external magnetic field are extensively examined. The Navier-Stokes equations are reduced to partial differential...

In this analy­sis, the col­lec­tive ef­fect of tem­per­a­ture-re­liant vis­cos­ity and in­ter­nal heat gen­er­a­tion on the ap­pear­ance of con­vec­tive mo­tion in cou­ple-stress flu­ids sat­u­rated a thin porous layer is in­ves­ti­gated em­ploy­ing lin­ear sta­bil­ity prin­ci­ple. The sig­nif­i­cant in­flu­ences of vis­cos­ity de­vi­a­tion pa­ra­m...

Thermosolutal Marangoni boundary layer flows are of great interest due to their applications in industrial applications such as drying of silicon wafers, thin layers of paint, glues, in heat exchangers, and crystal growth in space. The present analysis deals with the effect of chemical radiation and heat absorption/generation of the viscous fluid f...

The prominent focus of this work is to analyze the convective heat transfer in a steady boundary layer viscoelastic fluid flow and heat transfer over a stretching/shrinking sheet.Three cases were considered here. That is (i)The sheet with prescribed surface temperature. (ii) The sheet with prescribed surface heat flux. (iii) Convective heating.The...

The current study experimentally investigates the heat transfer augmentation on novel axial corrugated heat exchanger tube in which the spring tape is introduced. Air (Pr 0.707) is used as working fluid. In order to augment the thermohydraulic performance, a corrugated tube with inserts is offered. The experimental study is further extended by vary...

Cooling of heat-generating elements is a challenging problem in engineering. In this article, the transient free convection of a temperature-dependent viscosity liquid inside the porous cavity with copper radiator and the heat-generating element is studied using mathematical modeling techniques. The vertical and top walls of the chamber are kept at...

The physical problem under consideration is the boundary layer problem of an incompressible, laminar flow, taking place over a flat plate in the presence of a pressure gradient and radiation. For the mathematical formulation of the problem, the partial differential equations of continuity, energy, and momentum are taken into consideration with the...