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Numerical investigation on mixed convective peristaltic flow of fourth grade fluid with Dufour and Soret effects

M. Mustafa
Organization: School of Natural Sciences (SNS), National University of Sciences and Technology (NUST)
Saeid Abbasbandy
Organization: Department of Mathematics, Imam Khomeini International University
Sadia Hina
Organization: Department of Mathematical Sciences, Fatima Jinnah Women University
Tasawar Hayat
Organization: Department of Mathematics, Quaid-I-Azam University
Journal / Anthology

Journal of the Taiwan Institute of Chemical Engineers
Year: 2014
Volume: 45
Page range: 308–316

Heat and mass transfer analysis in the mixed convective peristaltic flow of fourth-grade fluid under viscous dissipation, Dufour and Soret effects is carried out. Mathematical model is formulated by incorporating long wavelength and low Reynolds number assumptions. The resulting coupled nonlinear boundary value problem (BVP) has been solved numerically by Keller–box method. The computations are validated through the built in routine for solving nonlinear boundary value problems via shooting method through the software Mathematica. The results indicate an increase in the pumping rate and a decrease in the temperature and concentration functions with an increase in the elastic parameter (Deborah number) for fourth grade fluid. The temperature and concentration are increasing functions of the buoyancy forces due to temperature and concentration gradients.

*Engineering > Chemical Engineering

Peristalsis, Mixed convection, Fourth grade fluid, Keller–box method, Shooting method