A Numerical Approach for the Thermal Radiation on MHD Unsteady Newtonian Fluid Flow Over a Stretching Sheet with Variable Thermal Conductivity and Partial Slip Conditions

2018 ◽  
Vol 7 (5) ◽  
pp. 870-878 ◽  
Author(s):  
Hussan Zeb ◽  
Hafiz Abdul Wahab ◽  
M. Shahzad ◽  
Saira Bhatti ◽  
Muhammad Gulistan
Keyword(s):  
Thermal Conductivity ◽  
Fluid Flow ◽  
Thermal Radiation ◽  
Newtonian Fluid ◽  
Stretching Sheet ◽  
Numerical Approach ◽  
Variable Thermal Conductivity ◽  
Partial Slip ◽  
Slip Conditions

scholarly journals Numerical approach to MHD flow of power-law fluid on a stretching sheet with non-uniform heat source

2019 ◽  
Vol 9 (1) ◽  
pp. 81-93 ◽  
Author(s):  
Satya Ranjan Mishra ◽  
Sushma Baag ◽  
Gouranga Charan Dash ◽  
Manas Ranjan Acharya
Keyword(s):  
Thermal Conductivity ◽  
Power Law ◽  
Stretching Sheet ◽  
Flow Instability ◽  
Saturated Porous Medium ◽  
Nonlinear Partial Differential Equations ◽  
Mhd Flow ◽  
Numerical Approach ◽  
Variable Thermal Conductivity ◽  
Power Law Fluid

AbstractIn the present study the flow of power-law fluid, due to a stretching sheet embedded in a saturated porous medium, is considered. This study also accounts for the variable thermal conductivity in the process of heat transfer along with dissipation due to Joule heating. The thermal conductivity is assumed to vary as a linear function of temperature. The similarity transformation is used to convert nonlinear partial differential equations to non linear ordinary equations. The numerical method, Runge-Kutta method with shooting technique has been applied to solve the resulting equations. The power-law fluid exhibits a dual property in the presence of magnetic field. The limiting cases n → 0 and n → ∞ have been discussed. For large n the solution becomes unstable which leads to flow instability(Shown in the graph).

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