Three-dimensional mixed convection stagnation-point flow past a vertical surface with second-order slip velocity

A. V. RO&#350;CA, N. C. RO&#350;CA, I. POP

doi:10.1007/s10483-023-2975-7

Applied Mathematics and Mechanics >

2023 , Vol. 44 >Issue 4: 641 - 652

DOI: https://doi.org/10.1007/s10483-023-2975-7

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Three-dimensional mixed convection stagnation-point flow past a vertical surface with second-order slip velocity

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1. Department of Statistics-Forecasts-Mathematics, Faculty of Economics and Business Administration, Babeş-Bolyai University, Cluj-Napoca 400084, Romania;
2. Department of Mathematics, Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Cluj-Napoca 400084, Romania;
3. Academy of Romanian Scientists, 3 Ilfov Street, Bucharest 050044, Romania

Received date: 2022-09-29

Revised date: 2023-01-25

Online published: 2023-03-30

Supported by

the Executive Agency for Higher Education Research Development and Innovation Funding of Romania (No. PN-III-P4-PCE-2021-0993)

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Abstract

This study is concerned with the three-dimensional (3D) stagnation-point for the mixed convection flow past a vertical surface considering the first-order and second-order velocity slips. To the authors' knowledge, this is the first study presenting this very interesting analysis. Nonlinear partial differential equations for the flow problem are transformed into nonlinear ordinary differential equations (ODEs) by using appropriate similarity transformation. These ODEs with the corresponding boundary conditions are numerically solved by utilizing the bvp4c solver in MATLAB programming language. The effects of the governing parameters on the non-dimensional velocity profiles, temperature profiles, skin friction coefficients, and the local Nusselt number are presented in detail through a series of graphs and tables. Interestingly, it is reported that the reduced skin friction coefficient decreases for the assisting flow situation and increases for the opposing flow situation. The numerical computations of the present work are compared with those from other research available in specific situations, and an excellent consensus is observed. Another exciting feature for this work is the existence of dual solutions. An important remark is that the dual solutions exist for both assisting and opposing flows. A linear stability analysis is performed showing that one solution is stable and the other solution is not stable. We notice that the mixed convection and velocity slip parameters have strong effects on the flow characteristics. These effects are depicted in graphs and discussed in this paper. The obtained results show that the first-order and second-order slip parameters have a considerable effect on the flow, as well as on the heat transfer characteristics.

Key words： three-dimensional (3D) mixed convection flow; stagnation point flow; first-order slip velocity; second-order slip velocity; numerical solution; stability analysis

Cite this article

A. V. ROŞCA, N. C. ROŞCA, I. POP . Three-dimensional mixed convection stagnation-point flow past a vertical surface with second-order slip velocity[J]. Applied Mathematics and Mechanics, 2023 , 44(4) : 641 -652 . DOI: 10.1007/s10483-023-2975-7

References

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