Exploring the Dynamics of Second-Grade Fluid Motion and Heat Over a Deforming Cylinder or Plate Affected by Partial Slip Conditions

Cham, Alhagie; Mustafa, M.

doi:10.1007/s13369-023-07893-8

Cited by 8 publications

(1 citation statement)

References 42 publications

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“…Cham and Mustafa [11], Behbahan et al [12], Moatimid et al [13] and Marinca et al [14]. Viscoelastic models had also been utilized by researchers to investigate other interesting flow scenarios, such as channel flows [15], flow in a rectangular duct [16], peristaltic flows [17][18][19] and rotating-disk produced flows [20][21][22], just to name a few.…”

Section: Introductionmentioning

confidence: 99%

Analytical solution for unsteady Walters-B fluid flow by a deforming surface with acceleration using OHAM based package BVPh2.0

Malik,

Mustafa

2023

Phys. Scr.

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Current study aims at simulating fluid flow due to a deformable heated surface in an otherwise static viscoelastic fluid obeying Walters-B model. Velocity of the surface is supposed to grow as time from its initiation of motion progress. Simulations in this work are based on the assumption of quadratic surface temperature distribution. Temperature rise attributed to the frictional heating effect is accounted for in the analysis. By choosing appropriate base functions, homotopy solutions are developed for reasonably large values of material fluid parameter. Reliability of the analytical results is established by computing averaged squared residual of the system. The contributions of the surface acceleration and elasticity on the boundary layer formation are enlightened through the plots of velocity components and temperature. Skin friction measuring the stress experienced by the surface is evaluated and examined under different controlling parameters. The paper also presents a numerical solution using NDSolve of MATHEMATICA in a special case of steady flow, and such solution agrees very well with the corresponding homotopy solution.

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