Diffusion and heat transfer effects on exponentially accelerated vertical plate with variable temperature

Muthucumaraswamy, R.; Sathappan, K. E.; Natarajan, Ramasamy

doi:10.2298/tsci1001073m

Cited by 2 publications

(4 citation statements)

References 3 publications

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“…Muthucumaraswamy et al [4] studied the flow past an exponentially accelerated infinite vertical plate in the presence of variable surface temperature. Again Muthucumaraswamy et al [5] analysed the combined effects of heat and mass transfer on exponentially accelerated vertical plate in presence of uniform magnetic field. Rajesh et al [6] presented the analytic investigation of radiation and mass transfer effects on MHD free convection flow past an exponentially accelerated vertical plate in the presence of variable mass diffusion.…”

Section: Introductionmentioning

confidence: 99%

Transient Free Convective MHD Flow Past an Exponentially Accelerated Vertical Porous Plate with Variable Temperature through a Porous Medium

Paul

2017

International Journal of Engineering Mathematics

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This paper is concerned with analytical solution of one-dimensional unsteady laminar boundary layer MHD flow of a viscous incompressible fluid past an exponentially accelerated infinite vertical plate in presence of transverse magnetic field. The vertical plate and the medium of flow are considered to be porous. The fluid is assumed to be optically thin and the magnetic Reynolds number is considered small enough to neglect the induced hydromagnetic effects. The governing boundary layer equations are first converted to dimensionless form and then solved by Laplace transform technique. Numerical values of transient velocity, temperature, skin friction, and Nusselt number are illustrated and are presented in graphs for various sets of physical parametric values, namely, Grashof number, accelerating parameter, suction parameter, permeability parameter, radiation parameter, magnetic parameter, and time. It is found that the velocity decreases with increases of the suction parameter for both cases of cooling and heating of the porous plate whereas skin friction increases with increase of suction parameter.

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Section: Introductionmentioning

confidence: 99%

Transient Free Convective MHD Flow Past an Exponentially Accelerated Vertical Porous Plate with Variable Temperature through a Porous Medium

Paul

2017

International Journal of Engineering Mathematics

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“…Saha et al [13] investigated various ranges of Richardson number for combined free and forced convection inside a two-dimensional multiple ventilated rectangular enclosure. The unsteady flow past a uniformly accelerated infinite vertical plate in the presence of variable temperature and mass flux was proposed by Muthucumaraswamy et al [9]. The results indicated that the velocity increased with increasing values of thermal Grashof number or mass Grashof number.…”

Section: Introductionmentioning

confidence: 90%

“…First, for u -momentum in (9), by using central difference around ( ) 1 2, i j + the equation becomes…”

Section: Discretization Of Momentum and Continuity Equationsmentioning

confidence: 99%

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Effect of Gravitational Acceleration on Unsteady Biomagnetic Fluid Flow

Idris¹,

Amin

Rahmat

2014

ACM

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This paper investigates the effect of gravitational acceleration on unsteady biomagnetic fluid flow in a channel under the influence of a spatially varying magnetic field. The study on biomagnetic fluid under the action of an applied magnetic field is important in the development of Biomagnetic Fluid Dynamics (BFD). Most existing studies analyze flows in steady state conditions and the effect of gravitational acceleration has not been addressed. For the mathematical model, the Navier-Stokes equations, energy equation and an additional term that describes the magnetic force and gravitational effect which is consistent with the principles of ferrohydrodynamics (FHD) are employed. The nonlinear governing differential equations are non-dimensionalized and then discretized based on a finite difference technique on a staggered grid system. The solution of these problems is obtained numerically using pressure correction method with SIMPLE algorithm. For a range of governing parameters such as the magnetic number Mn F and Richardson number Ri, the numerical results show that the gravitational acceleration has a profound effect on both velocity and temperature profiles. The streamlines plotted also show that vortices appear near the lower plate where the magnetic source is located.

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Diffusion and heat transfer effects on exponentially accelerated vertical plate with variable temperature

Cited by 2 publications

References 3 publications

Transient Free Convective MHD Flow Past an Exponentially Accelerated Vertical Porous Plate with Variable Temperature through a Porous Medium

Transient Free Convective MHD Flow Past an Exponentially Accelerated Vertical Porous Plate with Variable Temperature through a Porous Medium

Effect of Gravitational Acceleration on Unsteady Biomagnetic Fluid Flow

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