Muhammad Zeb

• Ph.D
• Professor (Associate) at COMSATS University Islamabad, Attock campus

: This work solves the problem of thin-film with�drawal and drainage of a steady incompressible couple stress fluid on the outer surface of a vertical cylinder. The governing equations for velocity and temperature distri�butions are subjected to the boundary conditions and solved with the help of homotopy analysis method. The obtained expressions f...

A novel theoretical model is devised for electro osmotic flow of Williamson fluid model by incorporating heat transfer phenomena in a micro ciliated channel. The physical fluid model is designed by exploiting the renowned Debye–Huckel, long wavelength small Reynolds number approximation. The exact expression for Poisson–Boltzmann equation is obtain...

This study investigates thin film’s drainage and lifting of a steady, non-isothermal-modified second-grade incompressible fluid. An approximate analytical technique The homotopy analysis method (HAM) is used to solve the developed governing equations for velocity and temperature fields together with boundary conditions. The expressions for velocity...

This work solves the problem of thin-film withdrawal and drainage of a steady incompressible couple stress fluid on the outer surface of a vertical cylinder. The governing equations for velocity and temperature distributions are subjected to the boundary conditions and solved with the help of homotopy analysis method. The obtained expressions for f...

In this framework entropy generation optimization in dissipative flow of Ree-Eyring fluid model (EGODF-RFM) with chemical reaction of quartic autocatalysis between two rotating disks is observed by operating the artificial neural networks model backpropagated with Bayesian Regularization technique (ANNM-BBRT). The effects of viscous dissipation and...

The aim of this paper is to study approximate analytical unsteady flow and heat transfer analysis of CNTs nanofluid over stretching sheet for the improvement of heat assignment ratio. The present work has some important application in industry and engineering because the heat transfer ratio of nanofluid is larger compared to other fluid. With the h...

Ferroliquids are made of small magnetic fragments of iron, nanoscale ferrimagnetic particles suspended on a base liquid (usually organic solvent/water) and are called colloidal liquids, they contain a magnetic suspension. Ferrofluid is used in rotating seals, loudspeakers, computer hard drives and MRI machines. It is hoped that this study will insp...

In this paper, we present two versions of the Hadamard inequality for convex functions via Caputo fractional derivatives. Several related results are analyzed for convex and -convex functions along with their refinements and generalizations. The error bounds of the Hadamard inequalities are established by applying some known identities. 1. Introdu...

In this study a novel mathematical model for electroosmotic flow for Cu-water based nanofluid with heat transfer phenomenon is reported for scraped-surface heat exchanger. The flow is initiated due to motion of lower wall of the channel and axial pressure gradient. The flow is modelled with aid of low Reynolds number and lubrication approximation t...

A mathematical model is explored to establish the electroosmotic flow for Cu-wa-ter nanoliquids within a ciliated symmetric micro-channel, the flow is established with aid of ciliary motion and axial pressure gradient. Nanofluid comprise of Cu as a nanofluid particles and water as base fluid. Maxwell-Garnelt model is exploited for viscosity and the...

This work deals with the bounds of a unified integral operator with which several fractional and conformable integral operators are directly associated. By using quasiconvex and monotone functions we establish bounds of these integral operators. We prove their boundedness and continuity. The results of this paper generalize already published result...

The present study investigates the impacts of thermal radiation and inclined magnetic field on the Sutterby fluid by capitalizing Cattaneo-Christov heat flux system. The suitable transformations from partial differential equations (PDEs) into ordinary differential equations (ODEs) are achieved by capitalizing the strength of similarity conversion s...

This article investigates the heat transfer flow of two layers of Phan-Thien-Tanner (PTT) fluids though a cylindrical pipe. The flow is assumed to be steady, incompressible, and stable and the fluid layers do not mix with each other. The fluid flow and heat transfer equations are modeled using the linear PTT fluid model. Exact solutions for the vel...

Sometimes, an increased reaction is caused by an immune system of the body to a non-toxic agent (e. g. eggs, dust, pollens or some drugs). This is called allergy or hypersensitivity. The regulatory T cells decrease these allergic reactions. Nowadays, it is noticed that immune system has a deep relationship with micro-organism present in the intesti...

This article presents, effects of fractional order derivative and magnetic field on double convection flow of viscous fluid over a moving vertical plate with constant temperature and general concentration. The model is fractionalized by using Caputo-Fabrizio derivative operator. Closed form solutions of the fluid velocity, concentration and tempera...

In this paper, some higher order algorithms have been introduced for solving fixed point problems. These algorithms have been developed by Homotopy Perturbation Method. New algorithms are tested on diversified nonlinear problems. The results are very promising and useful. Comparison of numerical results along with existing proficient techniques exp...

This paper considers a theoretical study on steady incompressible flow of corotational Maxwell fluid in helical screw rheometer (HSR). The rheological constitutive equation for co-rotational Maxwell fluid model gives the second order nonlinear coupled differential equations which could not be solved explicitly. An iterative procedure, Adomian decom...

In this paper, the steady flow of an incompressible, co-rotational Maxwell fluid in a helical screw rheometer is studied by ‘unwrapping or flattening’ the channel, lands, and the outside rotating barrel. The geometry is approximated as a shallow infinite channel, by assuming the width of the channel large as compared to the depth. The developed sec...

This paper aims to study a mathematical model of electrically conducting incompressible Newtonian fluid flow in a scraped surface heat exchanger in the presence of a transverse magnetic field. In our case the gap between the blades and the device wall is narrow so lubrication theory approximations work for the flow. Steady isothermal flow of an ele...

This paper aims to study the influence of Hall current and heat transfer on the magnetohydrodynamics (MHD) flow of an electrically conducting, incompressible Burgers’ fluid in a helical screw rheometer. The screw and barrel are electrically insulated and kept at two different constant temperatures. A uniform magnetic field is applied perpendicular...

This paper provides a theoretical study of steady flow of an incompressible third grade fluid in helical screw rheometer. The model developed in cylindrical coordinates pertains to second order nonlinear coupled differential equations that are solved using homotopy perturbation method. Expressions for velocity components in � and zdirection are obtain...

This paper aims to study the flow of an incompressible, isothermal Eyring-Powell fluid in a helical screw rheometer. The complicated geometry of the helical screw rheometer is simplified by "unwrapping or flattening" the channel, lands, and the outside rotating barrel, assuming the width of the channel is larger as compared to the depth. The develo...

The steady flow of an incompressible, third-grade fluid in helical screw rheometer (HSR) is studied by “unwrapping or flattening” the channel, lands, and the outside rotating barrel. The geometry is approximated as a shallow infinite channel, by assuming that the width of the channel is large as compared to the depth. The developed second-order non...

This paper has the application of two-dimensional Differential Transform Method (DTM) to derive closed form series solution of Goursat problems. Linear and nonlinear Goursat problems are considered to show fast convergence, simple applicability and efficiency of the technique.