Effects of slip on free convection flow of Casson fluid over an oscillating vertical plate. (English) Zbl 1334.35239
Summary: 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 \(\lambda\to0\), a Newtonian fluid with slip for \(\gamma \to\infty\), and a Newtonian fluid in the absence of slip for \(\lambda\to0\) and \(\gamma\to\infty\) 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.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 76R10 | Free convection |
| 44A10 | Laplace transform |
| 76A05 | Non-Newtonian fluids |
Keywords:
Casson fluid; oscillating flows; free convection; velocity field; exact solutions; slip effectReferences:
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