Variable fluid properties and variable heat flux effects on the flow and heat transfer in a non-Newtonian Maxwell fluid over an unsteady stretching sheet with slip velocity

2013 ◽  
Vol 22 (9) ◽  
pp. 094701 ◽  
Author(s):  
Ahmed M. Megahed
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Slip Velocity ◽  
Stretching Sheet ◽  
Maxwell Fluid ◽  
Unsteady Stretching Sheet ◽  
Flow And Heat Transfer ◽  
Variable Heat ◽  
Variable Heat Flux ◽  
Fluid Properties

scholarly journals Homotopy Perturbation Method for Thin Film Flow and Heat Transfer over an Unsteady Stretching Sheet with Internal Heating and Variable Heat Flux

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
I-Chung Liu ◽  
Ahmed M. Megahed
Keyword(s):  
Thin Film ◽  
Heat Transfer ◽  
Heat Flux ◽  
Differential Equations ◽  
Perturbation Method ◽  
Homotopy Perturbation Method ◽  
Homotopy Perturbation ◽  
Flow And Heat Transfer ◽  
Variable Heat ◽  
Variable Heat Flux

We have analyzed the effects of variable heat flux and internal heat generation on the flow and heat transfer in a thin film on a horizontal sheet in the presence of thermal radiation. Similarity transformations are used to transform the governing equations to a set of coupled nonlinear ordinary differential equations. The obtained differential equations are solved approximately by the homotopy perturbation method (HPM). The effects of various parameters governing the flow and heat transfer in this study are discussed and presented graphically. Comparison of numerical results is made with the earlier published results under limiting cases.

scholarly journals Magnetohydrodynamic Fluid Flow due to an Unsteady Stretching Sheet with Thermal Radiation, Porous Medium, and Variable Heat Flux

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Ahmed M. Megahed ◽  
Nourhan I. Ghoneim ◽  
M. Gnaneswara Reddy ◽  
Mostafa El-Khatib
Keyword(s):  
Heat Flux ◽  
Fluid Flow ◽  
Thermal Radiation ◽  
Stretching Sheet ◽  
Variable Viscosity ◽  
Unsteady Stretching Sheet ◽  
Variable Heat ◽  
Variable Heat Flux ◽  
Conductivity Parameter ◽  
Efficient Heat Transfer

A shooting method has been introduced for determining the numerical solution of the ordinary differential equations which describe the Newtonian magnetohydrodynamic laminar fluid flow due to an unsteady stretching sheet together with the presence of thermal radiation and variable heat flux. The variable viscosity and variable conductivity are taken into consideration. Absence of magnetic field in some studies restricts the development of the energy-efficient heat transfer mechanism as is desired in numerous applications. The present study encompasses parameters such as unsteadiness parameter, porous parameter, viscosity parameter, magnetic number, radiation parameter, and conductivity parameter. It has been consummated that the proposed model is superior to other existing models for the industrial fluid.

Variable heat flux effect on magnetohydrodynamic flow and heat transfer over an unsteady stretching sheet in the presence of thermal radiation

2014 ◽  
Vol 92 (1) ◽  
pp. 86-91 ◽  
Author(s):  
Ahmed M. Megahed
Keyword(s):  
Heat Flux ◽  
Thermal Radiation ◽  
Stretching Sheet ◽  
Magnetic Parameter ◽  
Skin Friction Coefficient ◽  
Magnetohydrodynamic Flow ◽  
Time Index ◽  
Unsteady Stretching Sheet ◽  
Variable Heat ◽  
Variable Heat Flux

The unsteady laminar magnetohydrodynamic flow over an unsteady stretching sheet in the presence of thermal radiation and variable heat flux is investigated. The governing time-dependent boundary layer equations are transformed into ordinary differential equations containing a radiation parameter, space index parameter, time index parameter, Prandtl number, magnetic parameter, and unsteadiness parameter. These equations are solved numerically by applying the Chebyshev spectral method. The velocity profiles, temperature profiles, the skin friction coefficient, and the dimensionless surface temperature are computed and discussed in detail for various values of the different parameters. It is found that increasing the unsteadiness parameter leads to a fall for both the velocity and temperature distribution. Moreover, the temperature increases with the magnetic parameter, but the reverse is true for the velocity distribution. Likewise, the temperature decreases for increasing both values of space index parameter and time index parameter.

Sign in / Sign up

Export Citation Format

Share Document