Abstract
This paper examines the fractionalized second grade fluid due
to oscillating plate under slip condition. The discrete Laplace transform
technique is employed to compute the analytical solutions for the equations of motion. The velocity field and shear stress are computed. In order
to write them in compact form, the Wright generalized hyper geometric
function is used and written as addition of slip and no slip contributions.
The closed-form solutions for ordinary second grade and Newtonian fluids carrying out the similar motion are achieved. The computations for
fractional and ordinary second grade fluids without slip effect are also
achieved as a special case. Furthermore, the impact of various parameters
such as the slip, fractional and material parameters on the motion of fractionalized second grade fluid will be explained through graphs. Finally,
a comparison among the Newtonian fluids, ordinary second grade fluids
and fractionalized second grade fluids is also carried out.
Sanaullah Dehraj, Rajab A. Malookani, Nasreen Nizamani, Muzaffar B. Arain. (2019) Oscillating Flows of Fractionalized Second Grade Fluid with Slip Effects, Punjab University Journal of Mathematics, Volume 51, Issue 11.
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