Thermal Radiative MHD Stagnation Point Slip Flow and Heat Transfer Due to a Stretching Sheet

AbstractA symmetry analysis of steady two-dimensional boundary layer stagnation-point flow and heat transfer of viscous incompressible non-Newtonian power-law fluids over a nonlinearly shrinking/stretching sheet with thermal radiation effect is presented. Lie group of continuous symmetry transformations is employed to the boundary layer flow and heat transfer equations, that gives scaling laws and self-similar equations for a special type of shrinking/stretching velocity ($c{x^{1/3}}$) and free-stream straining velocity ($a{x^{1/3}}$) along the axial direction to the sheet. The self-similar equations are solved numerically using very efficient shooting method. For the above nonlinear velocities, the unique self-similar solution is obtained for straining velocity being always less than the shrinking/stretching velocity for Newtonian and non-Newtonian power-law fluids. The thickness of velocity boundary layer becomes thinner with power-law index for shrinking as well as stretching sheet cases. Also, the thermal boundary layer thickness decreases with increasing values the Prandtl number and the radiation parameter.

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The MHD stagnation point flow and heat transfer towards a stretching sheet with suction in a nanofluid

10.1063/1.4887617 ◽

2014 ◽

Author(s):

Nurul Najwa Mansor ◽

Khairy Zaimi

Keyword(s):

Heat Transfer ◽

Stagnation Point ◽

Stretching Sheet ◽

Stagnation Point Flow ◽

Flow And Heat Transfer

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MHD Stagnation Point Flow and Heat Transfer Over a Stretching Sheet in a Blood-Based Casson Ferrofluid With Newtonian Heating

Journal of Advanced Research in Fluid Mechanics and Thermal Sciences ◽

10.37934/arfmts.82.1.111 ◽

2021 ◽

Vol 82 (1) ◽

pp. 1-11

Author(s):

Muhammad Khairul Anuar Mohamed ◽

Siti Hanani Mat Yasin ◽

Mohd Zuki Salleh ◽

Hamzeh Taha Alkasasbeh

Keyword(s):

Heat Transfer ◽

Stagnation Point ◽

Stretching Sheet ◽

Volume Fraction ◽

Mhd Flow ◽

Casson Fluid ◽

Skin Friction Coefficient ◽

Newtonian Heating ◽

Linear Partial Differential Equations ◽

Flow And Heat Transfer

The present study investigated the magnetohydrodynamic (MHD) flow and heat transfer on a stagnation point past a stretching sheet in a blood-based Casson ferrofluid with Newtonian heating boundary conditions. The ferrite Fe3O4 and cobalt ferrite CoFe2O4 ferroparticles suspended into Casson fluid represent by human blood to form blood-based Casson ferrofluid are numerically examined. The mathematical model for Casson ferrofluid which is in non-linear partial differential equations are first transformed to a more convenient form by similarity transformation approach then solved numerically by using the Runge-Kutta-Fehlberg (RKF45) method. The characteristics and effects of the stretching parameter, the magnetic parameter, the Casson parameter and the ferroparticle volume fraction for Fe3O4 and CoFe2O4 on the variation of surface temperature and the reduced skin friction coefficient are analyzed and discussed. It is found that the blood-based Casson ferrofluid provided up to 46% higher in temperature surface compared to blood-based fluid with the presence of magnetic effects.

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