Numerical and perturbation solutions of third-grade fluid in a porous channel: Boundary and thermal slip effects

Pramana ◽  
2020 ◽  
Vol 94 (1) ◽  
Author(s):  
Mubbashar Nazeer ◽  
Nasir Ali ◽  
Fayyaz Ahmad ◽  
Madiha Latif
Keyword(s):  
Third Grade ◽  
Porous Channel ◽  
Thermal Slip ◽  
Third Grade Fluid ◽  
Slip Effects ◽  
Channel Boundary ◽  
Grade Fluid ◽  
Perturbation Solutions

Parallel Plate Flow of a Third-Grade Fluid and a Newtonian Fluid With Variable Viscosity

2016 ◽  
Vol 71 (7) ◽  
pp. 595-606
Author(s):  
Volkan Yıldız ◽  
Mehmet Pakdemirli ◽  
Yiğit Aksoy
Keyword(s):  
Newtonian Fluid ◽  
Parallel Plate ◽  
Numerical Solutions ◽  
Variable Viscosity ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Regular Perturbation ◽  
Approximate Analytical Solutions ◽  
Grade Fluid ◽  
Perturbation Solutions

AbstractSteady-state parallel plate flow of a third-grade fluid and a Newtonian fluid with temperature-dependent viscosity is considered. Approximate analytical solutions are constructed using the newly developed perturbation-iteration algorithms. Two different perturbation-iteration algorithms are used. The velocity and temperature profiles obtained by the iteration algorithms are contrasted with the numerical solutions as well as with the regular perturbation solutions. It is found that the perturbation-iteration solutions converge better to the numerical solutions than the regular perturbation solutions, in particular when the validity criteria of the regular perturbation solution are not satisfied. The new analytical approach produces promising results in solving complex fluid problems.

scholarly journals Analysis of Electro-MHD of Third Grade Fuid Flow Through Porous Channel

2020 ◽  
Vol 13 (5) ◽  
pp. 1270-1284
Author(s):  
Sukanya Padhi ◽  
Itishree Nayak
Keyword(s):  
Magnetic Field ◽  
Nonlinear Partial Differential Equation ◽  
Mhd Flow ◽  
Elastic Parameter ◽  
Third Grade ◽  
Porous Channel ◽  
Third Grade Fluid ◽  
Fully Implicit ◽  
Contrasting Effect ◽  
Grade Fluid

This paper examines the Electro-MHD flow and heat transfer of a third grade fluid passing through a porous channel. An unidirectional and one-dimensional flow is propelled with the aid of lorentz force generated due to interaction of vertically applied magnetic field along with horizontally applied electric field. The equations of momentum and energy governing the third grade fluid flow are transformed to algebraic equation from nonlinear partial differential equation by implementing fully implicit finite difference scheme and solution is obtained by damped-Newton method. Lastly, the problem is simulated using MATLAB and the influence on velocity and temperature profiles with variation of non-dimensional parameters are depicted graphically. The noteworthy findings of this study is that the increasing values of elastic parameter α and non-Newtonian parameter γ diminishes the flow velocity and results in enhancement of temperature profile. A completely contrasting effect is observed for increasing values of strength of electric and magnetic field.

A Note on Oscillatory Flow of a Third Grade Fluid in a Porous Medium

2008 ◽  
Vol 11 (5) ◽  
pp. 467-473
Author(s):  
Tasawar Hayat ◽  
F. Shahzad ◽  
S. Asghar
Keyword(s):  
Porous Medium ◽  
Oscillatory Flow ◽  
Third Grade ◽  
Third Grade Fluid ◽  
Grade Fluid
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