Stability analysis and modeling for the three-dimensional Darcy-Forchheimer stagnation point nanofluid flow towards a moving surface

In this research, the three-dimensional (3D) steady and incompressible laminar Homann stagnation point nanofluid flow over a porous moving surface is addressed. The disturbance in the porous medium has been characterized by the Darcy-Forchheimer relation. The slip for viscous fluid is considered. Th...

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Bibliographic Details
Published in:	Applied mathematics and mechanics Vol. 42; no. 3; pp. 357 - 370
Main Authors:	Chu, Yuming, Khan, M. I., Rehman, M. I. U., Kadry, S., Qayyum, S., Waqas, M.
Format:	Journal Article
Language:	English
Published:	Shanghai Shanghai University 01-03-2021 Springer Nature B.V Department of Mathematics, Huzhou University, Huzhou 313000, Zhejiang Province, China Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering,Changsha University of Science & Technology, Changsha 410114, China%Department of Mathematics, Riphah International University, Faisalabad Campus,Faisalabad 38000, Pakistan%Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan%Department of Mathematics and Computer Science, Beirut Arab University,Beirut 11072809, Lebanon%NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad 44000, Pakistan
Edition:	English ed.
Subjects:	Applications of Mathematics Classical Mechanics Coefficient of friction Computational fluid dynamics Dimensional stability Drag Flow stability Fluid flow Fluid- and Aerodynamics Heat Heat flux Heat transfer Incompressible flow Magnetic properties Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Nanofluids Nusselt number Parameters Partial Differential Equations Porous media Skin friction Slip Stability analysis Stagnation point Suction Thermal radiation Three dimensional models Velocity gradient Viscous fluids dual solution 76A10 viscous slip 76Rxx heat generation/absorption stability result 76A05 76Wxx stagnation point flow O361 Darcy-Forchheimer relation thermal radiation
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Summary:	In this research, the three-dimensional (3D) steady and incompressible laminar Homann stagnation point nanofluid flow over a porous moving surface is addressed. The disturbance in the porous medium has been characterized by the Darcy-Forchheimer relation. The slip for viscous fluid is considered. The energy equation is organized in view of radiative heat flux which plays an important role in the heat transfer rate. The governing flow expressions are first altered into first-order ordinary ones and then solved numerically by the shooting method. Dual solutions are obtained for the velocity, skin friction coefficient, temperature, and Nusselt number subject to sundry flow parameters, magnetic parameter, Darcy-Forchheimer number, thermal radiation parameter, suction parameter, and dimensionless slip parameter. In this research, the main consideration is given to the engineering interest like skin friction coefficient (velocity gradient or surface drag force) and Nusselt number (temperature gradient or heat transfer rate) and discussed numerically through tables. In conclusion, it is noticed from the stability results that the upper branch solution (UBS) is more reliable and physically stable than the lower branch solution (LBS).
ISSN:	0253-4827 1573-2754
DOI:	10.1007/s10483-021-2700-7