Research PaperNo Access

Modeling and numerical computation of nonsimilar forced convective flow of viscous material towards an exponential surface

Umer Farooq

Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013 Jiangsu, P. R. China

Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Chak Shehzad, Islamabad, Pakistan

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Raheela Razzaq

Department of Mathematics, COMSATS University Islamabad, Islamabad Campus, Chak Shehzad, Islamabad, Pakistan

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M. Ijaz Khan

https://orcid.org/0000-0003-2036-0372

Department of Mathematics and Statistics, Riphah International University I-14, Islamabad 44000, Pakistan

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Yu-Ming Chu

Department of Mathematics, Huzhou University, Huzhou 313000, P. R. China

Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science & Technology, Changsha 410114, P. R. China

E-mail Address: chuyuming@zjhu.edu.cn

Corresponding author.

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, and

Dian Chen Lu

Department of Mathematics, Faculty of Science, Jiangsu University, Zhenjiang 212013 Jiangsu, P. R. China

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https://doi.org/10.1142/S0217979221501186Cited by:14 (Source: Crossref)

Abstract

The objective of this paper is to study the mixed convective nonsimilar flow above an exponentially stretching sheet saturated by nanofluid. The leading partial differential equations (PDEs) of the problem have been modified towards dimensionless nonlinear PDEs utilizing newly proposed nonsimilarity transformations. Furthermore, local nonsimilarity procedure up to-second truncation has been operated to change the dimensionless PDEs into ordinary differential equations (ODEs). MATLAB-based algorithm bvp4c is used to observe the consequences of the distinct parameters namely Prandlt number $(Pr)$ , magnetic field $(M)$ , Lewis number $(Le)$ , Brownian motion $(N_{b})$ , Eckert number $(Ec)$ , thermophoresis $(N_{t})$ on velocity, concentration and temperature distribution are shown in graphical portray. Additional outcomes presume the heat penetration into the fluid enhances with increase in Biot number and Brownian motion. Increasing values of $M$ and $ξ$ cause decrease of temperature profile.

Keywords:

PACS: 83.50.Ax

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