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Peristaltic flow of Sutterby fluid in a vertical channel with radiative heat transfer and compliant walls: A numerical study

Tasawar HayatDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, PakistanHina ZahirDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, PakistanM. MustafaSchool of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Islamabad 44000, PakistanA. AlsaediNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
2016en
ABI

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Current study aims to investigate the impact of compliant walls on peristaltically induced flow of Sutterby fluid in a vertical channel. The flow is subjected to uniform magnetic field in the transverse direction. In addition heat transfer effects characterized by convective boundary conditions are considered. Energy equation contains heat dissipation and radiative heat transfer effects. Problem formulation is developed by negligible inertial effects and long wavelength approximation. Shooting method based NDSolve of the software Mathematica has been applied to evaluate numerical results of stream function, temperature and heat transfer coefficient. We found that velocity and temperature distributions in Sutterby fluid are greater than of viscous fluid. Radiation parameter tends to reduce the fluid temperature inside the channel.

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