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Bio-Heat and Mass Transfer

Magnetohydrodynamic Nonlinear Peristaltic Flow in a Compliant Walls Channel With Heat and Mass Transfer

[+] Author and Article Information
Sadia Hina1

Department of Mathematical Sciences,  Fatima Jinnah University, Rawalpindi 46000, Pakistanquaidan85@yahoo.com

Tasawar Hayat

Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan; Department of Mathematics, Faculty of Science,  King Abdul Aziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

Saleem Asghar

Department of Mathematics, Faculty of Science,  King Abdul Aziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia; Department of Mathematics, CIIT, H-8, Islamabad 44000, Pakistan

Mohammed Shabab Alhothuali, Adnan Alhomaidan

Department of Mathematics, Faculty of Science,  King Abdul Aziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

1

Corresponding author.

J. Heat Transfer 134(7), 071101 (May 24, 2012) (7 pages) doi:10.1115/1.4006100 History: Received July 15, 2011; Revised November 18, 2011; Published May 24, 2012; Online May 24, 2012

This paper discusses the effects of magnetic field and heat and mass transfer on the peristaltic flow of an incompressible fluid in a channel with compliant walls. Mathematical formulation for the fourth grade fluid is presented. Relations of stream function, temperature, concentration field, and heat transfer coefficient are derived. The variations of the interesting parameters entering into the problem are carefully analyzed.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

(a) Variation of M on u when E1  = 0.5; E2  = 0.2; E3  = 0.1; E4  = 0.01; E5  = 0.1; ε=0.2; Γ = 0.1; x = 0.3; t = 0.1. (b) Variation of Γ on u when E1 = 0.5; E2 = 0.4; E3 = 0.1; E4 = 0.01; E5 = 0.6; ε=0.2; M = 0.5; x = −0.3; t = 0.1. (c) Variation of ε on u when E1 = 0.2; E2 = 0.1; E3 = 0.01; E4 = 0.01; E5 = 0.2; M = 2; Γ = 0.01; x = −0.3; t = 0.1 and (d) Variation of compliant wall parameters on u when Γ = 0.01; ε=0.2; M = 2; x = −0.3; t = 0.1.

Grahic Jump Location
Figure 2

(a) Variation of M on θ when E1 = 0.2; E2 = 0.1; E3 = 0.01; E4 = 0.01; E5 = 0.6; ε=0.15; Γ = 0.1; x = 0.2; t = 0.1; Br = 5. (b) Variation of Γ on θ when E1 = 0.2; E2 = 0.1; E3 = 0.01; E4 = 0.01; E5 = 0.2; ε=0.15; M = 1.5; x = 0.2; t = 0.1; Br = 4. (c) Variation of Br on θ when E1 = 0.2; E2 = 0.1; E3 = 0.01; E4 = 0.01; E5 = 0.2; ε=0.15; Γ = 0.1; x = 0.2; t = 0.1; M = 1.5. (d) Variation of compliant wall parameters on θ when Γ = 0.1; ε=0.15; M = 1.5; x = 0.2; t = 0.1; Br = 2.

Grahic Jump Location
Figure 3

(a) Variation of M on φ when E1 = 0.2; E2 = 0.1; E3 = 0.01; E4 = 0.01; E5 = 0.6; ε=0.15; Br = 5; Sr = 1; Sc = 1; Γ = 0.1; x = 0.2; t = 0.1. (b) Variation of Γ on φ when E1 = 0.2; E2 = 0.1; E3 = 0.01; E4 = 0.01; E5 = 0.2; ε=0.15; Br = 4; Sr = 1; Sc = 1; M = 1.5; x = 0.2; t = 0.1. (c) Variation of Br on φ when E1 = 0.2; E2 = 0.1; E3 = 0.01; E4 = 0.01; E5 = 0.2; ε=0.15; Γ = 0.1; M = 1.5; Sr = 1; Sc = 1; x = 0.2; t = 0.1. (d) Variation of Sc on φ when E1 = 0.2; E2 = 0.1; E3 = 0.01; E4 = 0.01; E5 = 0.2; ε=0.15; M = 1.5; x = 0.2; Br = 1; Sr = 1; t = 0.1. (e) Variation of compliant wall parameters on φ when Br = 2; Sr = 1; Sc = 1; ε=0.15; M = 1.5; x = 0.2; t = 0.1.

Grahic Jump Location
Figure 4

(a) Variation of M on Z when E1 = 0.2; E2 = 0.1; E3 = 0.01; E4 = 0.01; E5 = 0.2; ε=0.15; Γ = 0.01; Br = 1; t = 0.1. (b) Variation of Γ on Z when E1 = 1; E2 = 0.1; E3 = 0.01; E4 = 0.01; E5 = 0.2; ε=0.15; M = 2.5; Br = 0.5; t = 0.1. (c) Variation of Br on Z when E1 = 0.2; E2 = 0.1; E3 = 0.01; E4 = 0.01; E5 = 0.2; ε=0.15; M = 1.5; Γ = 0.1; t = 0.1.

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