Department of Mathematics

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End date: 2019Subject: search.filters.subject.Heat Transfer

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Now showing 1 - 7 of 7
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    Heat transfer in micro devices packaged in partial vacuum
    (IOP, 2012) Rana, Anirudh
    The influence of rarefaction effects on technical processes is studied numerically for a heat transfer problem in a rarefied gas, a box with bottom heated plate. Solutions obtained from several macroscopic models, in particular the classical Navier-Stokes-Fourier equations with jump and slip boundary conditions, and the regularized 13 moment (R13) equations [Struchtrup & Torrilhon, Phys. Fluids 15, 2003] are compared. The R13 results show significant flow patterns which are not present in the classical hydrodynamic description.
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    A numerical study of the heat transfer through a rarefied gas confined in a microcavity
    (Springer, 2014-07) Rana, Anirudh
    Flow and heat transfer in a bottom-heated square cavity in a moderately rarefied gas is investigated using the R13 equations and the Navier–Stokes–Fourier equations. The results obtained are compared with those from the direct simulation Monte Carlo (DSMC) method with emphasis on understanding thermal flow characteristics from the slip flow to the early transition regime. The R13 theory gives satisfying results—including flow patterns in fair agreement with DSMC—in the transition regime, which the conventional Navier–Stokes–Fourier equations are not able to capture.
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    Analytical investigation of the hydromagnetic flow in a porous medium due to periodically heated oscillating plate
    (International Journal of Applied Mechanics and Engineering, 2000) Sharma, Bhupendra Kumar
    The Stokes second problem in the presence of a magnetic field in a porous medium is considered. The flow is due to an oscillating plate at the bottom of the porous medium of finite thickness and fully saturated with the viscous incompressible liquid. The plate is kept at oscillating temperature and a transverse uniform magnetic field is applied normal to the plate. It is assumed that the flow in the porous medium is governed by the Brinkman equations. The flows at the interface (porous medium-clear fluid boundary) are matched by the conditions suggested by Ochao-Tapia and Whittaker. Approximate solutions for velocity, temperature field, skin-friction and rate of heat transfer are calculated and effects of various parameters upon them are examined.
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    The effect of suction on magnetohydrodynamic forced flow of a viscous electrically conducting fluid through a porous medium induced by a rotating disk
    (Interdisciplinary Centre for Mathematical and Computational Modelling, 2012) Sharma, Bhupendra Kumar
    The present paper investigates the steady MHD forced flow of an incompressible viscous electrically conducting fluid, due to an infinite rotating disk bounded by a porous medium. A uniform suction is applied on the upper disk. It is assumed that the flow between the disk and the porous medium is governed by Navier-Stokes equations and that in the porous medium by Brinkman equations. Flows in the two regions are matched at the interface by assuming that the velocity and stress components are continuous at it. At the interface (porous medium-clear fluid boundary), a modified set of boundary conditions suggested by Ochao-Tapia and Whittaker is applied. Assuming constant suction at the disk surface, analytical expressions for the velocity and shearing stress are calculated and effects of various parameters upon them are examined.
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    Fluctuating hydromagnetic natural convection flow past a magnetized vertical surface in the presence of thermal radiation
    (Thermal Science, 2012) Sharma, Bhupendra Kumar
    The effect of radiation on fluctuating hydro-magnetic natural convection flow of viscous, incompressible, electrically conducting fluid past a magnetized vertical plate is studied; when the magnetic field and surface temperature oscillates in magnitude about a constant non zero mean. The numerical solutions have been obtained for different values of radiation parameter (Rd) magnetic Prandtl number (Pm) magnetic force parameter (S) Prandtl number (Pr) and surface temperature ( w θ ) in terms of amplitude and phase angle of coefficients of skin friction, rate of heat transfer and current density at the surface of the plate. Moreover, the effects of these parameters on transient coefficients of skin friction, rate of heat transfer and current density have been discussed. The finite difference method for primitive variable transformation and asymptotic series solution for stream function formulation has been used to obtain the numerical solution of the boundary layer flow field
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    Heat transfer by free convection flow with radiation along a porous hot vertical plate in the presence of transverse magnetic field
    (RSMAMS, 2007) Sharma, Bhupendra Kumar
    An analysis of radiation effect on steady laminar free convection flow of an electrically conducting fluid along a porous hot vertical plate has been discussed. Approximate solutions have been derived for the velocity, temperature field, skin friction and rate of heat transfer using multi-parameter perturbation technique. The obtained results are discussed with the help of graphs and tables to observe the effects of Prandtl number, radiation parameter, magnetic field parameter and Grashof number on velocity, temperature, skin-friction and the Nusselt number.
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    Hydromagnetic Unsteady Mixed Convection Flow Past an Infinite Vertical Porous Plate
    (Scientific & Academic Publishing, 2011) Sharma, Bhupendra Kumar
    An approximate analysis of unsteady mixed convection flow of an electrically conducting fluid past an infinite vertical porous plate embedded in porous medium under constant transversely applied magnetic field is presented here. The periodic transverse suction velocity is applied to the surface due to which the flow becomes unsteady. The surface is kept at oscillating wall temperature. Analytical expressions for the transient velocity, temperature, amplitude and phase of the skin-friction and the rate of heat transfer are obtained and discussed in detail with the help of graphs, under different parameter values.