Q. Hussain

The analysis of heat and mass transfer in a peristaltic flow of variable viscosity in a symmetric channel with nonlinear thermal radiation is studied. The effects of viscous dissipation are also included. Well established large wavelength and small Reynolds number approximations are invoked. Nonlinear coupled system is solved analytically for the convergent series solutions identifying the interval of convergence explicitly. The effects of variable temperature dependent viscosity and the nonlinear thermal radiation, on the field quantities, are presented graphically and discussed physically.

The present paper investigates the effects of temperature dependent variable viscosity on hydromagnetic peristaltic flow of viscous nanofluid in an asymmetric channel. The problem is modeled under the influence of viscous dissipation and Joule heating. It has been observed that constant viscosity assumption is generally valid only for isothermal fluids. However, the heat generated by viscous dissipation and wall temperature have strong requirement suggesting that the viscosity must be a function of temperature. This is all the more important for the nanofluids since it gives rise to thermal conductivity of the fluid. This important practical necessity has been addressed in this paper taking viscosity to be a linear function of temperature in the peristaltic transport of nanofluid. The resulting nonlinear coupled equations are solved by using semi-analytical method (HAM). Impact of sundry parameters are discussed by graphs and tables. Comparison has been made with the previously published work in order to cross check the authenticity of our work.

This paper deals with two-dimensional peristaltic flow of a viscous fluid in a symmetric channel for variable temperature-dependent viscosity. The effects of Hall current, ion slip, viscous dissipation, and Ohmic heating are also taken into consideration. The problem is formulated in terms of governing equations using conservation laws of mass, momentum, and energy. Using a series solution an approximate asymptotic solution is obtained by the method of perturbation expansion in terms of a small viscosity parameter under standard assumptions of long wavelength and low Reynolds number for the peristaltic transport of fluid. The results are presented graphically to demonstrate the behavior of field quantities under the influence of different physical parameters. However, special attention is given to the effects of variable viscosity and dissipation on the peristaltic flow (the new features added in the present study). It is observed that the maximum pressure rise against which peristalsis works as a pump decreases as a result of increasing viscosity parameter and Brinkman number. The heat transfer in variable-viscosity fluid is found to be smaller in comparison with constant-viscosity fluid.

In this paper, we investigate the effects of heat and mass transfer on peristaltic motion of magnetohydrodynamic (MHD) viscous fluid in a symmetric channel in the presence of Hall and ion-slip currents, viscous and Joule dissipations, and variable temperature-dependent viscosity. The governing field equations are solved using series solution under the normal assumptions of long wavelength and low Reynolds number. The pumping characteristics are obtained using numerical integration. The results are critically analyzed for the physical parameters that characterize the peristaltic motion. These parameters include amplitude ratio, volume flow rate, viscosity parameter, Brinkman number, heat generation parameter, magnetic parameter, Hall parameter and ion-slip parameter. The results are presented graphically to understand the behavior of the field quantities and the physics of peristaltic transport of physiological and industrial fluids. Special emphasis has been given to analyze the effects of heat transfer with viscous and Joule dissipations — essentially the new features added in this study.

In this paper, we investigate the effects of variable viscosity and thermal conductivity on peristaltic flow of Jeffrey fluid in an asymmetric channel. The inclined magnetic field, viscous dissipation and Joule heating are also considered. Wave frame and long wavelength approximations are made to formulate the problem. Pressure gradient, pressure drop per wavelength, velocity and temperature profiles are calculated analytically and discussed graphically. Comparison is made with the previous work for reliability.

This article addresses the heat transfer in a peristaltic flow of a reactive combustible viscous fluid through a porous saturated medium. The flow here is induced because of travelling waves along the channel walls. It is assumed that exothermic chemical reactions take place within the channel under the Arrhenius kinetics and the convective heat exchange with the ambient medium at the surfaces of the channel walls follows Newton’s law of cooling. The analysis is carried out in the presence of viscous dissipation and without consumption of the material. The governing equations are formulated by employing the long-wavelength approximation. Closed-form solutions for the stream function, axial velocity, and axial pressure gradient are obtained. It is found that the temperature decreases at high Biot numbers, and the Nusselt number increases with increasing reaction parameter. The Biot number and reaction parameter produce the opposite effects on the Nusselt number.