New modeling and analytical solution of fourth grade (non-Newtonian) fluid by a stretchable magnetized Riga device

The aim of this paper is to examine the influence of heat source/sink on boundary layer flow of a fourth-grade liquid over a stretchable Riga plate on taking account of induced magnetic field and mixed convection. Analysis of mass and heat transport is studied through modified Fourier heat flux mode...

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Published inInternational journal of modern physics. C, Computational physics, physical computation Vol. 33; no. 1
Main Authors Xu, Yun-Jie, Shah, Faisal, Khan, M. Ijaz, Naveen Kumar, R., Punith Gowda, R. J., Prasannakumara, B. C., Malik, M. Y., Khan, Sami Ullah
Format Journal Article
LanguageEnglish
Published Singapore World Scientific Publishing Company 01.01.2022
World Scientific Publishing Co. Pte., Ltd
Subjects
Boundary layer flow
Concentration gradient
Exact solutions
Graphs
Heat
Heat flux
Mathematical models
Parameters
Schmidt number
Skin friction
Thermal relaxation
Riga device
mixed convection
Cattaneo–Christov model
Fourth grade fluid
heat generation
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ISSN0129-1831
1793-6586
DOI10.1142/S0129183122500139

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Abstract The aim of this paper is to examine the influence of heat source/sink on boundary layer flow of a fourth-grade liquid over a stretchable Riga plate on taking account of induced magnetic field and mixed convection. Analysis of mass and heat transport is studied through modified Fourier heat flux model. The governing flow issue is demonstrated with the help of momentum, energy, temperature and concentration equation. The modeled equations are reduced into nondimensional ODEs by opting suitable similarity transformations. The analytic solutions are discussed by means of the optimal technique of homotopy analysis. The influence of several nondimensional parameters on velocity, thermal and concentration gradients are deliberated by using suitable graphs. Also, the skin friction is discussed with the help of graphs. The result outcomes reveal that, velocity of fluid diminishes for advanced values of viscoelastic parameter and fourth-grade liquid parameter but contrary movement is seen for third grade fluid parameters. Fluid temperature boosts up for thermal relaxation parameter and concentration is abridged for rising values of solutal concentration parameter and Schmidt number.
AbstractList The aim of this paper is to examine the influence of heat source/sink on boundary layer flow of a fourth-grade liquid over a stretchable Riga plate on taking account of induced magnetic field and mixed convection. Analysis of mass and heat transport is studied through modified Fourier heat flux model. The governing flow issue is demonstrated with the help of momentum, energy, temperature and concentration equation. The modeled equations are reduced into nondimensional ODEs by opting suitable similarity transformations. The analytic solutions are discussed by means of the optimal technique of homotopy analysis. The influence of several nondimensional parameters on velocity, thermal and concentration gradients are deliberated by using suitable graphs. Also, the skin friction is discussed with the help of graphs. The result outcomes reveal that, velocity of fluid diminishes for advanced values of viscoelastic parameter and fourth-grade liquid parameter but contrary movement is seen for third grade fluid parameters. Fluid temperature boosts up for thermal relaxation parameter and concentration is abridged for rising values of solutal concentration parameter and Schmidt number.
Author Prasannakumara, B. C.
Xu, Yun-Jie
Naveen Kumar, R.
Malik, M. Y.
Shah, Faisal
Khan, M. Ijaz
Punith Gowda, R. J.
Khan, Sami Ullah
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Keywords Riga device
mixed convection
Cattaneo–Christov model
Fourth grade fluid
heat generation
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SubjectTerms Boundary layer flow
Concentration gradient
Exact solutions
Graphs
Heat
Heat flux
Mathematical models
Parameters
Schmidt number
Skin friction
Thermal relaxation
Title New modeling and analytical solution of fourth grade (non-Newtonian) fluid by a stretchable magnetized Riga device
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