Insights of numerical simulations of magnetohydrodynamic squeezing nanofluid flow through a channel with permeable walls

In this paper a definitely new analytical technique, predictor homotopy analysis method (PHAM), is employed to solve the problem of two-dimensional nanofluid flow through expanding or contracting gaps with permeable walls. Moreover, comparison of the PHAM results with numerical results obtained by the shooting method coupled with a Runge–Kutta integration method as well as previously published study results demonstrates high accuracy for this technique. The fluid in the channel is water containing different nanoparticles: silver, copper, copper oxide, titanium oxide, and aluminum oxide. The effects of the nanoparticle volume fraction, Reynolds number, wall expansion ratio, and different types of nanoparticles on the flow are discussed.

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Stability of MHD Unsteady Nanofluid Flow through Expanding or Contracting Channel with Permeable Walls

Procedia Engineering ◽

10.1016/j.proeng.2017.08.175 ◽

2017 ◽

Vol 194 ◽

pp. 487-493 ◽

Cited By ~ 2

Author(s):

M.K. Rahman ◽

Md. S. Alam ◽

M.A.H. Khan

Keyword(s):

Nanofluid Flow ◽

Permeable Walls ◽

Flow Through

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Free convective flow of Hamilton-Crosser model gold-water nanofluid through a channel with permeable moving walls

Combinatorial Chemistry & High Throughput Screening ◽

10.2174/1386207324666210813112323 ◽

2021 ◽

Vol 24 ◽

Author(s):

Pradyuna Kuar Pattnaik ◽

Munawwar Ali Abbas ◽

Satyaranjan Mishra ◽

Sami Ullah Khan ◽

Muhammad Mubashir Bhatti

Keyword(s):

Fluid Velocity ◽

Middle Layer ◽

Physical Parameters ◽

Nanofluid Flow ◽

Free Convective Flow ◽

Shooting Technique ◽

Permeable Walls ◽

Flow Phenomena ◽

Order Scheme ◽

Flow Through

Background: The present manuscript analyses the influence of buoyant forces of a conducting time-dependent nanofluid flow through porous moving walls. The medium is also filled with porous materials. In addition to that, uniform heat source and absorption parameters are considered that affect the nanofluid model. Introduction: The model is based on the thermophysical properties of Hamilton-Crosser's nanofluid model, in which a gold nanoparticle is submerged into the base fluid water. Before simulation is obtained by a numerical method, suitable transformation is used to convert nonlinear coupled PDEs to ODEs. Method: Runge-Kutta fourth-order scheme is applied successfully for the first-order ODEs in conjunction with the shooting technique. Result: Computations for the coefficients of rate constants are presented through graphs, along with the behavior of several physical parameters augmented the flow phenomena. Conclusion: The present investigation may be compatible with the applications of biotechnology. It is seen that, inclusion of volume concentration the fluid velocity enhances near the middle layer of the channel and retards near the permeable walls. Also, augmented values of the Reynolds number and both cooling and heating of the wall increases the rate of shear stress.

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