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A theoretical analysis for peristalsis of Casson material with thermal radiation and viscous dissipation

Farooq Shahid (Quaid-I-Azam University, Department of Mathematics, Islamabad, Pakistan)
Hayat Tasawar (Quaid-I-Azam University, Department of Mathematics, Islamabad, Pakistan + King Abdulaziz University, Faculty of Science, Department of Mathematics, Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Jeddah, Saudi Arabia)
Ahmad Bashir (King Abdulaziz University, Faculty of Science, Department of Mathematics, Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Jeddah, Saudi Arabia)

Effects of thermal radiation and radial applied magnetic field on the peristaltic motion of Casson material in a channel are investigated. Heat equation contains Joule heating and viscous dissipation characteristics. The flow equations in wave frame are reduced in view of long wavelength and small Reynolds number. Stream function formulation is adopted. Closed form solutions of physical quantities have been developed. Physical interpretation through graphs is assigned. It is found that pressure gradient and fluid velocity decreases for Casson fluid parameter. Also temperature is decreasing quantity of thermal radiation parameter and Prandtl number.

Keywords: radial magnetic field, thermal radiation, Joule heating, Casson fluid