Effects of slip on free convection flow of casson fluid over an oscillating vertical plate.

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Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Boundary Value Problem, Springer
Abstract
The slip effect on free convection of a Casson fluid past an infinite oscillating vertical plate with constant wall temperature is investigated. It is used to characterize the non-Newtonian fluid behavior. By introducing appropriate non-dimensional variables, the resulting equations are solved analytically by using the Laplace transform technique. The corresponding solutions for a Casson fluid without slip at the boundary for λ → 0, a Newtonian fluid with slip for γ → ∞, and a Newtonian fluid in the absence of slip for λ → 0 and γ → ∞ are obtained as limiting cases. The effect of the Casson parameter is seen to suppress the velocity field. Also, the influence of the slip parameter causes a decrease in the velocity field. Numerical results for velocity, temperature, and Nusselt number are shown in various graphs and discussed for the embedded flow parameters.
Description
Keywords
Mathematics, Casson fluid; oscillating flows; free convection; velocity field; exact solutions; slip effect
Citation
Asjad, M. I., Sarwar, S., & Imran, M. (2016). Effects of slip on free convection flow of casson fluid over an oscillating vertical plate. Boundary Value Problem, 30, 1-11. (Muhammad Imran Asjad (Mathematics /SSC), JCR LISTED (IF:0:642))