Thermal Analysis of a Hydromagnetic Viscoelastic Fluid Flow Over a Continuous Curved Stretching Surface in the Presence of Radiative Heat Flux

2020 ◽  
Vol 46 (1) ◽  
pp. 631-644
Author(s):  
K. M. Sanni ◽  
Q. Hussain ◽  
S. Asghar
2018 ◽  
Vol 96 (1) ◽  
pp. 1-10 ◽  
Author(s):  
M. Bilal ◽  
M. Sagheer ◽  
S. Hussain

In this study, three-dimensional upper-convected Maxwell fluid flow over a stretching surface in the presence of viscous dissipation and Joule heating is considered to examine the effects of thermophoresis and magnetohydrodynamics (MHD) on heat and mass transfer. Energy equation is formulated under the assumption of nonlinear radiative heat flux. Ordinary differential equations are deduced from the governing partial differential equations with the help of similarity transformation. These equations are then solved numerically using the shooting method, through the fourth-order Runge–Kutta integration procedure. To strengthen the reliability of our results, the MATLAB built-in function bvp4c is also used. Effects of some prominent physical parameters, such as Eckert number, Prandtl number, thermophoretic parameter, and magnetic parameter on the velocity, temperature, and concentration profiles are discussed graphically and numerically. It is found that concentration profile decreases for the higher values of thermophoretic parameter and Schmidt number. The heat flux rate is observed to enhance for increasing values of thermal radiation and Prandtl number.


Author(s):  
Arif Hussain ◽  
Muhammad Yousaf Malik ◽  
Mair Khan ◽  
Taimoor Salahuddin

Purpose The purpose of current flow configuration is to spotlights the thermophysical aspects of magnetohydrodynamics (MHD) viscoinelastic fluid flow over a stretching surface. Design/methodology/approach The fluid momentum problem is mathematically formulated by using the Prandtl–Eyring constitutive law. Also, the non-Fourier heat flux model is considered to disclose the heat transfer characteristics. The governing problem contains the nonlinear partial differential equations with appropriate boundary conditions. To facilitate the computation process, the governing problem is transmuted into dimensionless form via appropriate group of scaling transforms. The numerical technique shooting method is used to solve dimensionless boundary value problem. Findings The expressions for dimensionless velocity and temperature are found and investigated under different parametric conditions. The important features of fluid flow near the wall, i.e. wall friction factor and wall heat flux, are deliberated by altering the pertinent parameters. The impacts of governing parameters are highlighted in graphical as well as tabular manner against focused physical quantities (velocity, temperature, wall friction factor and wall heat flux). A comparison is presented to justify the computed results, it can be noticed that present results have quite resemblance with previous literature which led to confidence on the present computations. Originality/value The computed results are quite useful for researchers working in theoretical physics. Additionally, computed results are very useful in industry and daily-use processes.


Author(s):  
T. E. Magin ◽  
L. Caillault ◽  
A. Bourdon ◽  
C. O. Laux

2000 ◽  
Author(s):  
Christian Proulx ◽  
Daniel R. Rousse ◽  
Rodolphe Vaillon ◽  
Jean-François Sacadura

Abstract This article presents selected results of a study comparing two procedures for the treatment of collimated irradiation impinging on one boundary of a participating one-dimensional plane-parallel medium. These procedures are implemented in a CVFEM used to calculate the radiative heat flux and source. Both isotropically and anisotropically scattering media are considered. The results presented show that both procedures provide results in good agreement with those obtained using a Monte Carlo method, when the collimated beam impinges normally.


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