Dusty Hydromagnetic Oldryod Fluid Flow in a Horizontal Channel with Volume Fraction and Energy Dissipation

Dey, Debasish

doi:10.18280/ijht.340310

Cited by 13 publications

(8 citation statements)

References 20 publications

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“…(5-7), Eq. (4) can be written in component form as [44][45][46][47] : ∂y is radiation for optically thin fluid and its value is approximated as 48 The physical initial and boundary conditions are:…”

Section: Mathematical Modelingmentioning

confidence: 99%

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

Bilal

Khan

Ali

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.

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Section: Mathematical Modelingmentioning

confidence: 99%

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

Bilal

Khan

Ali

et al. 2021

Sci Rep

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“…To avoid likeness it is preferred to refs. [37][38][39][40] for momentum and energy equations of fluid and dust particles.…”

Section: Mathematical Formulationmentioning

confidence: 99%

A Report On Fluctuating Free Convection Flow Of Heat Absorbing Viscoelastic Dusty Fluid Past In A Horizontal Channel With MHD Effect

Ali

Bilal

Gohar

et al. 2020

Sci Rep

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The free convective unsteady fluctuating, MHD flow of electrically conducting viscoelastic dusty fluid in a channel-driven with the impact of oscillating pressure gradient and the motion of the upper plate has been studied in this article. the noteworthy heat generation/absorption has also taken into account, the heat generation established the mechanism of heat transfer by both the momentum of fluid and the motion of dust particle and absorption of heat by the dust particle is because of conduction. the coupled governing partial differential equations are reduced to the ordinary differential equation through the assumed periodic solutions. Analytical solutions for the velocity of the fluid as well as the velocity of dust particles and for energy equation of the fluid and for dust particles are obtained by using Poincare-Light Hill Perturbation Technique. The influence of various parameters of interest is discussed on the velocity and temperature profiles of the fluid and particles. The evolution of fluid-phase and dusty-phase with dual behavior of the magnetic parameter for both boundary layer and free stream velocities has been discussed. the boundary layer velocity decreased with an increase in magnetic parameter, while at the free stream flow, the result is quite opposite. The above result of magnetic field is worthwhile and can be used to control the boundary layer thickness. the current work also concludes that by increasing the peclet number and concentration of the dust particles retards the boundary layer velocity. Furthermore, various physical parameters like coefficient of heat absorption, concentration of the dust particles, peclet number, magnetic parameter, and temperature relaxation time parameter retard the motion of dusty-phase, while Grashof number enhances the flow of dusty-phase. Other properties of fluid, which have great importance for engineers are, the rate of heat transfer and skin friction. It is shown in Table 1 that by increasing the value of Peclet number from 1 to 2 it increases the rate of heat transfer from 1.3263 to 1.3387. Furthermore, Table 2 shows that by increasing the concentration parameter from 2 to 4 the skin friction increases from 2.3872 to 4.7799. Magnetohydrodynamic free convection is paramount due to the existence in natural and as well as in fluid engineering problems. Applications of free convection in natural phenomena are: the ocean currents which are generated from the forces acting upon the water like temperature and salinity differences, sea wind formation and the rising plume of hot air is just because of convection. While in the fluid engineering problems the MHD flows with free convection are used in MHD generators, accelerators, flow meters, blood flow, enhancement of heat transfer in gas cooling systems, geothermal energy extraction are the areas having great technical importance in

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“…Oscillatory hydromagnetic channel flow of dusty fluids was considered by Debnath and Ghosh. 16 Dey 17 analyzed the non-Newtonian dusty channel convective flow problem with viscous heating effects. Pulsatile time-dependent dusty pumping in a channel was examined by Datta et al 18 using Laplace transform techniques.…”

Section: Introductionmentioning

confidence: 99%

Computation of unsteady generalized Couette flow and heat transfer in immiscible dusty and non‐dusty fluids with viscous heating and wall suction effects using a modified cubic B‐spine differential quadrature method

et al. 2021

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In this paper, the unsteady flow of two immiscible fluids with heat transfer is studied numerically with a modified cubic B-spine Differential Quadrature Method. Generalized Couette flow of two immiscible dusty (fluid-particle suspension) and pure (Newtonian) fluids are considered through rigid horizontal channels for three separate scenarios: first for nonporous plates with heat transfer, second for porous plates with uniform suction and injection and heat transfer, and third for nonporous plates with interface evolution. The stable

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Dusty Hydromagnetic Oldryod Fluid Flow in a Horizontal Channel with Volume Fraction and Energy Dissipation

Cited by 13 publications

References 20 publications

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

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

A Report On Fluctuating Free Convection Flow Of Heat Absorbing Viscoelastic Dusty Fluid Past In A Horizontal Channel With MHD Effect

Computation of unsteady generalized Couette flow and heat transfer in immiscible dusty and non‐dusty fluids with viscous heating and wall suction effects using a modified cubic B‐spine differential quadrature method

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