Two-Phase Fluctuating Flow of Dusty Viscoelastic Fluid Between Non-Conducting Rigid Plates With Heat Transfer

et al. 2021

Eur. Phys. J. Plus

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This article deals with the two phase fluctuating flow of dusty fluid and heat transfer in the presence of electrically conducting dust particles induces a strong magnetic field. The flow is considered between two parallel non-conducting plates, one at rest and the other in the state of fluctuation. Heat transfers due to free convection and Newtonian heating condition (NHC). The flow is generated due to plate fluctuation. In the sequence to scrutinize methodical solutions, we have used the Poincaré-Lighthill perturbation technique (PLPT). Results are obtained and plotted in graphs. The effect of pertinent parameters on the base fluid velocity such as Grashof number, magnetic parameter, radiation parameter and dusty fluid parameter has been studied. It is noticed that the velocity of the base fluid increases with the decrease in magnetic field and the applied shear stress, i.e., decreases up to some extent but gradually increases for the large magnetic parameter.

Section: List Of Symbolsmentioning

confidence: 99%

Effect of Newtonian heating on two-phase fluctuating flow of dusty fluid: Poincaré–Lighthill perturbation technique

et al. 2021

Eur. Phys. J. Plus

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“…Unlike the published work in this investigation, they concluded that the flow in boundary layer increases with the greater value of magnetic field. More recently, Ali et al 20 analyzed the fluctuating unsteady free convective flow of viscoelastic fluid with embedded dust particles under the impact of MHD. They discussed the variation of velocity of dust phase and the fluid phase in boundary layer and in free stream with the dual behavior of magnetic parameter.…”

Section: Introductionmentioning

confidence: 99%

Couette flow of viscoelastic dusty fluid in a rotating frame along with the heat transfer

Bilal

et al. 2021

Sci Rep

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Viscoelastic fluid is an advanced fluid which exhibits both elastic and viscous properties. Whereas rotation of viscoelastic fluid is a very complex phenomenon and has an immense amount of applications in engineering and product making industries. Due to various applications in real life researchers are working to understand the rheology of viscoelastic fluids. Viscoelastic dusty fluids are used in gas cooling systems. In nuclear reactors, dusty fluids are used to lower the temperature of the system. Such fluids are also used in centrifugal separators, which separate solid particles from the liquid state, etc. Therefore, in the present study, viscoelastic dusty fluid is analyzed. More precisely free convective Couette flow under the influence of the transversely applied uniform magnetic field in a rotating frame is considered. The subject fluid is driven by the sine oscillations of the upper plate along with the effect of free convection. Due to rotation, the fluid and dust particles have complex velocities which is the sum of primary velocity and secondary velocity. The flow regime is modeled in terms of partial differential equations. To non-dimensionalize the system of governing equations, dimensionless variables have been derived through Buckingham-Pi theorem. The system of partial differential equations is solved through assumed periodic solutions (Poincare-Light Hill Technique). The expressions for skin friction (shear stresses at $$y = 0$$ y = 0 ) and Nusselt number (the rate of heat transfer) are also calculated. Moreover, parametric influence on Nusselt number, and velocity profile of the fluid and the dust particles, is discussed. It is observed that increase in rotation parameter η causes retardation in the velocity of dust particles and the fluid. This is due to the fact that the increase in η enhances the Coriolis forces that are in fact inertial forces, causing a retardation in the velocity of the fluid phase and the dust phase.

“…They investigate the solution for the fluid velocity and the dust particle's velocity by applying the Poincare-Light Hill technique. Similarly, in another paper, Ali et al [20] established the study about the dusty viscoelastic fluid of two-phase fluctuating flow with heat transfer between rigid plates which are non-conducting and examine the connected effect of the heat transfer and magnetic field on the dusty viscoelastic fluid which is conducting electrically with the help of Light-Hill technique.…”

Section: Introductionmentioning

confidence: 99%

The Effect of Wall Shear Stress on Two Phase Fluctuating Flow of Dusty Fluids by Using Light Hill Technique

Rahman

et al. 2021

Water

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Due to the importance of wall shear stress effect and dust fluid in daily life fluid problems. This paper aims to discover the influence of wall shear stress on dust fluids of fluctuating flow. The flow is considered between two parallel plates that are non-conducting. Due to the transformation of heat, the fluid flow is generated. We consider every dust particle having spherical uniformly disperse in the base fluid. The perturb solution is obtained by applying the Poincare-Lighthill perturbation technique (PLPT). The fluid velocity and shear stress are discussed for the different parameters like Grashof number, magnetic parameter, radiation parameter, and dusty fluid parameter. Graphical results for fluid and dust particles are plotted through Mathcad-15. The behavior of base fluid and dusty fluid is matching for different embedded parameters.