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

Yuming CHU, M. I. KHAN, M. I. U. REHMAN, S. KADRY, S. QAYYUM, M. WAQAS

doi:10.1007/s10483-021-2700-7

2021 , Vol. 42 >Issue 3: 357 - 370

DOI: https://doi.org/10.1007/s10483-021-2700-7

Articles

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

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1. Department of Mathematics, Huzhou University, Huzhou 313000, Zhejiang Province, China;
2. Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha University of Science & Technology, Changsha 410114, China;
3. Department of Mathematics, Riphah International University, Faisalabad Campus, Faisalabad 38000, Pakistan;
4. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
5. Department of Mathematics and Computer Science, Beirut Arab University, Beirut 11072809, Lebanon;
6. NUTECH School of Applied Sciences and Humanities, National University of Technology, Islamabad 44000, Pakistan

Received date: 2020-08-15

Revised date: 2020-11-20

Online published: 2021-02-23

Supported by

Project supported by the National Natural Science Foundation of China (Nos. 11971142, 11871202, 61673169, 11701176, 11626101, and 11601485)

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Abstract

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).

Key words： viscous slip; Darcy-Forchheimer relation; thermal radiation; stagnation point flow; dual solution; heat generation/absorption; stability result

Cite this article

Yuming CHU, M. I. KHAN, M. I. U. REHMAN, S. KADRY, S. QAYYUM, M. WAQAS . Stability analysis and modeling for the three-dimensional Darcy-Forchheimer stagnation point nanofluid flow towards a moving surface[J]. Applied Mathematics and Mechanics, 2021 , 42(3) : 357 -370 . DOI: 10.1007/s10483-021-2700-7

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