Analytical technique for magnetohydrodynamic (MHD) fluid flow of a periodically accelerated plate with slippage

Ahmad, Salman; Chishtie, Farrukh; Mahmood, Asad

doi:10.1016/j.euromechflu.2017.03.012

Cited by 14 publications

(3 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Abdelhameed [28] focused on entropy generation in magnetohydrodynamics (MHD) flow of a Newtonian fluid (water) affected by an applied magnetic field in the absence of an induced magnetic field. Ahmad et al, [29] explored the unsteady MHD fluid flow in a rotating frame of reference, where an infinite boundary is subjected to periodic acceleration with slippage conditions. Seth et al, [30] delved into unsteady MHD natural convection flow with Hall effects, involving an electrically conducting, viscous, incompressible fluid that absorbs heat.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Solution for Free Convection Flow of Brinkman Type Fluid in the Channel with the Effect of Accelerated Plate

Mohamad Riduan Hashim,

Zulkhibri Ismail,

Ahmad Qushairi Mohamad

et al. 2024

ARNHT

View full text Add to dashboard Cite

The main purpose of this research is to formulate the mathematical models and solution for the effect of accelerated plate on free convection flow in Brinkman type fluid through two vertical channels. Using the appropriate dimensionless variables, the dimensional governing energy and momentum equations are reduced to dimensionless equations subjected to the associated initial boundary conditions. The analytical solutions are obtained by using Laplace transform method. Dimensionless parameters are obtained through dimensionless processes such as Grashof number Gr, Acceleration plate parameter, R, Prandtl number Pr, Brinkman type fluid parameter and time, t. The mathematical findings for velocity and temperature are graphically plotted to investigate the influence of dimensionless variables on profiles. It is observed that fluid velocity increases with increasing of Gr and t whereas it decreases with increasing of , R and Pr. Besides that, it is found that temperature profiles decrease with a high value of Prandtl number, Pr while increase with high value of time, t. In order to validate the results, the obtained results in limiting cases are compared with the published results and also with numerical Gaver-Stehfest algorithm. Both comparisons show that the solution is to be in a mutual agreement.

show abstract

Section: Introductionmentioning

confidence: 99%

Mathematical Solution for Free Convection Flow of Brinkman Type Fluid in the Channel with the Effect of Accelerated Plate

Mohamad Riduan Hashim,

Zulkhibri Ismail,

Ahmad Qushairi Mohamad

et al. 2024

ARNHT

View full text Add to dashboard Cite

show abstract

“…It was noticed that high level of Dean velocity is achieved due to the exponentially growing time-dependent pressure gradient as well as the slip wall coefficient. Ahmad et al [9] studied the MHD fluid flow of an incompressible viscous fluid near an infinite plate in a rotating frame, accelerating periodically with slippage condition. It was noted that higher values of the slip parameter which represents lower roughness at the surface, reduce both the axial and transverse velocities.…”

Section: Introductionmentioning

confidence: 99%

Transient Flow Through a Porous Channel with Ramped Pressure Gradient and Velocity Slip Boundary Condition

Jha

Yunus

2022

International Journal of Applied Mechanics and Engineering

View full text Add to dashboard Cite

A transient flow formation of an incompressible fluid through a horizontal porous channel assuming a ramped pressure gradient is considered with the velocity slip boundary conditions. The flow is a laminar flow caused by ramped pressure gradient along the flow direction. The equation governing the flow is modeled, and solved by the Laplace transformation technique to obtain a semi-analytical solution under slip boundary conditions. It was noted that the flow velocity increases as the slip parameter is increased.

show abstract

“…Liu and Guo [3] examined the fractional Maxwell MHD fluid. Ahmad et al [4] used a periodically accelerated plate to find a new analytical technique for MHD fluid flow. Ajam et al [5] used Buongiorno's model and found a new analytical approximation of MHD resulting from a stretching permeable surface.…”

Section: Introductionmentioning

confidence: 99%

Boundary Layer Analysis Adjacent to Moving Heated Plate Inside Electrically Conducting Fluid with Heat Source/Sink

Rashed¹,

Nasr²,

Kassem³

2020

IJHT

View full text Add to dashboard Cite

Newtonian steady state flow of fluids with electrical conduction properties was examined adjacent to a moving heated vertical plate subjected to a magnetic field and a heat source/sink. The impact of magnetic parameter, Prandtl number, permeability coefficient, heat source/sink volumetric rate and temperature difference between heated plate and ambient temperature. A reduced system of ODEs was created via group similarity method. The solution led to some important results. Increasing permeability coefficient of the plate material resulted in a significant increase in flow velocity and a slight increase in heat flux but the magnitude of shear stress and temperature distribution decreased. Moreover, increasing the magnetic parameter, M, led to a significant decrease in velocity and a decrease in heat flux, whereas shear stress and temperature distribution increased. Furthermore, increasing Prandtl number, Pr, reduced the velocity significantly and the heat flux slightly. On the other hand, the magnitude of shear stress and temperature distribution increased. In case of using heat source, the increase in its energy rate decreased the heat flux with no significant effect on shear stress. Finally, the increment of temperature difference led to noticeable increase in velocity and a slight increase in heat flux, whereas the shear stress decreased.

show abstract

Analytical technique for magnetohydrodynamic (MHD) fluid flow of a periodically accelerated plate with slippage

Cited by 14 publications

References 20 publications

Mathematical Solution for Free Convection Flow of Brinkman Type Fluid in the Channel with the Effect of Accelerated Plate

Mathematical Solution for Free Convection Flow of Brinkman Type Fluid in the Channel with the Effect of Accelerated Plate

Transient Flow Through a Porous Channel with Ramped Pressure Gradient and Velocity Slip Boundary Condition

Boundary Layer Analysis Adjacent to Moving Heated Plate Inside Electrically Conducting Fluid with Heat Source/Sink

Contact Info

Product

Resources

About