Hydromagnetic slip flow with heat transfer in an inclined channel

Sanyal, D. C.; Sanyal, Manas Kumar

doi:10.1007/bf01597717

Cited by 6 publications

(4 citation statements)

References 5 publications

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“…Scientists and researchers are trying to investigate the conditions of the sliding velocity of Navier in the walls and their use. Some articles and research that have used these boundary conditions as well [1,3,7,16,24].…”

Section: Formulation Of Problem and Basic Equationmentioning

confidence: 99%

“…(𝑛 + 1) equation is obtained from Equations ( 19) to (24), so (𝑛 + 1) unknown coefficient in Equation ( 18), including 𝑎 0 , 𝑎 1 , … , 𝑎 𝑛 will be calculated. Solving the nonlinear differential Equation ( 16) is done by calculating the coefficients of Equation ( 18).…”

Section: 𝑝 ′mentioning

confidence: 99%

“…They also calculated the optimal frequency for maximum heat transfer at high Reynolds numbers. In addition to that, Sanyal and Sanyal [24] studied on the two-dimensional steady flow in an inclined rectangular channel with the presence of a magnetic field. From the outcomes of this research, we can refer to the graphical comparison of velocity, temperature, and magnetic field numerically.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Study and Comparison of Two-dimensional Ferrofluid Flow in Semi-porous Channel under Magnetic Field

Jalili,

Afifi,

Jalili

et al. 2023

IJE

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In this article, the equations governing the constant ferromagnetic current are investigated. The Lorentz force restrains this ferrofluid flow in a semi-porous valve. Analyzes were performed on three sub-particle fluids: kerosene and blood, water and magnetite. Modeling in the Cartesian coordinate system using the relevant equations was investigated. A slight thinning should be considered in the lower part of this channel. This research has used two Akbari-Ganji methods (AGM) and finite element method (FEM) to solve the equations. Nonlinear differential equations are solved using the above two methods. In the finite element model, the effect of changing the Hartmann number and the Reynolds number on the flow velocity and the derivatives of the velocity and shear stress of the fluid were investigated. As the Hartmann number increases, the velocity decreases in both directions. The Reynolds number changes in different slip parameters, which shows the opposite behavior for the two directions. Also, the insignificant effect of volume fraction of nanoparticles on velocity and its derivatives and shear stress was investigated. The results of solving the equations with the above two methods were compared with HAM. The results obtained using AGM and FEM and their comparison with previous researches have led to complete agreement, which shows the efficiency of the techniques used in this research.

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Section: Formulation Of Problem and Basic Equationmentioning

confidence: 99%

Section: 𝑝 ′mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical Study and Comparison of Two-dimensional Ferrofluid Flow in Semi-porous Channel under Magnetic Field

Jalili,

Afifi,

Jalili

et al. 2023

IJE

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“…The velocity slip at the plate was introduced by Navier and named as Navier slip condition. The researchers [35][36][37][38] have used this condition due to its implementation in several industrial and engineering processes where the flow is confined by pipes, walls and curved surfaces. The mean velocity U can be computed by using the following relation…”

mentioning

confidence: 99%

Series solution of slip flow of Al2O3 and Fe3O4 nanoparticles in a horizontal channel with porous medium by using least square and Galerkin methods

et al. 2019

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In this problem, a theoretical study is presented for the slip effects on the twodimensional flow of a nano liquid in a semi-porous channel designed by two long rectangular plates having porous media. One of the channel walls is porous and other is rigid as well as slippery. A transverse magnetic field of homogenous strength is also applied to direction of flow. Magnetic nanoparticles   34 Fe O and non-magnetic nanoparticles   23 Al O are considered with ethylene glycol (EG) and water as base fluids (BFs). Least Square method (LSM) and Galerkin method (GM) are adopted to solve the equations, transformed from partial differential equations (DEs) to ordinary ones by Berman's similarity transformations. The obtained results from the two analytical methods are compared with the results obtained by fourth order Runge-Kutta numerical method (NM). By comparing the results of GM and LSM it is observed that variation in velocity profiles is minimal however the accuracy of GM is higher than LSM. The contributions of various flow parameters are presented through graphs. Results show a decrement in the fluid velocity with an increase in the slip and porosity parameter. The fluid boundary layer decreases with an increase in the Reynolds number. Flow field is less for the case of magnetic nanoparticles as compared to nonmagnetic particles.

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Theoretical analysis of two-layer fluids with continuity of stresses at interface and slip at the walls of an inclined channel

Abbas

Altaf

Hasnain

et al. 2021

Ain Shams Engineering Journal

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Hydromagnetic slip flow with heat transfer in an inclined channel

Cited by 6 publications

References 5 publications

Numerical Study and Comparison of Two-dimensional Ferrofluid Flow in Semi-porous Channel under Magnetic Field

Numerical Study and Comparison of Two-dimensional Ferrofluid Flow in Semi-porous Channel under Magnetic Field

Series solution of slip flow of Al2O3 and Fe3O4 nanoparticles in a horizontal channel with porous medium by using least square and Galerkin methods

Theoretical analysis of two-layer fluids with continuity of stresses at interface and slip at the walls of an inclined channel

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