Analysis of Dual Solutions in MHD Fluid Flow with Heat and Mass Transfer Past an Exponentially Shrinking/Stretching Surface in a Porous Medium

被引：18

作者：

Dey D. ^{[1
]}

Makinde O.D. ^{[2
]}

Borah R. ^{[1
]}

机构：

[1] Department of Mathematics, Dibrugarh University, Dibrugarh

[2] Faculty of Military Science, Stellenbosch University, Stellenbosch

来源：

International Journal of Applied and Computational Mathematics | 2022年 / 8卷 / 2期

关键词：

Chemical reaction; Dual solutions; Heat and mass transfers; MHD; Porous medium; Shrinking/Stretching sheet;

D O I：

10.1007/s40819-022-01268-7

中图分类号：

学科分类号：

摘要：

The present study examines the nature of dual solutions in hydromagnetic boundary layer flow a conducting fluid past an exponentially shrinking/stretching sheet with simultaneous thermal and concentration distributions in a porous medium. Due to the non-linearity of the model boundary value problem, both similarity transformation and the “MATLAB built-in bvp4c numerical scheme” are utilized to solve this problem. For shrinking surface flow, the model exhibits non-unique dual solutions and a linear stability analysis is executed in order to identify the stable and physically achievable solution. Influences of various emerging parameters on the flow with heat and mass transfer are discussed through graphs and in tabular form. A comparison has been made with existing results and excellent agreement is achieved. © 2022, The Author(s), under exclusive licence to Springer Nature India Private Limited.

引用

共 35 条

[21]

Shampine L., Kierzenka J., Reichelt M., Solving boundary value problems for ordinary differential equations in MATLAB with bvp4c, Tutor. Notes, 75275, pp. 1-27, (2000)

[22]

Dey D., Hazarika M., Entropy generation of hydro-magnetic stagnation point flow of micropolar fluid with energy transfer under the effect of uniform suction/injection, Latin Am. Appl. Res. – Int. J., 50, 3, pp. 209-214, (2020)

[23]

Vaidya H., Rajashekhar C., Manjunatha G., Prasad K.V., Makinde O.D., Vajravelu K., Heat and mass transfer analysis of MHD peristaltic flow through a complaint porous channel with variable thermal conductivity, Phys. Scr., 95, (2020)

[24]

Dey D., Hazarika M., Borah R., Entropy generation analysis of magnetized micropolar fluid streaming above an exponentially extending plane, Lat. Am. Appl. Res., 51, 4, pp. 255-260, (2021)

[25]

Merkin J.H., On dual solutions occurring in mixed convection in a porous medium, J. Eng. Math., 20, 2, pp. 171-179, (1986)

[26]

Dey D., Borah R., Mahanta B., Boundary layer flow and its dual solutions over a stretching cylinder: stability analysis, Emerging Technologies in Data Mining and Information Security: Proceedings of IEMIS 2020, Volume 1, pp. 27-38, (2021)

[27]

Mishra G.S., Hussain M.R., Makinde S.M., Seth O.D., Stability analysis and dual multiple solutions of a hydromagnetic dissipative flow over a stretching / shrinking sheet, Bulg. Chem. Commun., 52, 2, pp. 259-271, (2020)

[28]

Sarkar G.M., Sahoo B., Dual solutions of magnetohydrodynamic boundary layer flow and a linear temporal stability analysis, Proc. Inst. Mech. Eng. Part E J. Process Mech. Eng., 234, 6, pp. 553-561, (2020)

[29]

Sarkar G.M., Sahoo B., Dual solutions of a magnetohydrodynamic stagnation point flow of a non-Newtonian fluid over a shrinking sheet and a linear temporal stability analysis, Proc. Inst. Mech. Eng. Part E J. Process Mech. Eng., 235, 2, pp. 527-535, (2021)

[30]

Najib N., Bachok N., Arifin N.M., Stability of dual solutions in boundary layer flow and heat transfer over an exponentially shrinking cylinder, Indian J. Sci. Technol., 9, (2017)

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