Department of Mathematics

Permanent URI for this collectionhttp://localhost:4000/handle/123456789/1920

Browse

Filters

Settings

Author: search.filters.author.Sharma, Bhupendra KumarSubject: search.filters.subject.Heat Transfer

Search Results

Now showing 1 - 6 of 6
  • No Thumbnail Available
    Item
    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.
  • No Thumbnail Available
    Item
    Numerical investigation of the entropy generation analysis for radiative MHD power-law fluid flow of blood through a curved artery with Hall effect
    (Taylor & Francis, 2023-06) Sharma, Bhupendra Kumar
    In the last few decades, mortality rate due to blood vessel diseases has hiked rapidly and it is almost one-third of total mortalities. Identifying the vascular geometry and hemodynamic blood flow inside the artery is essential for preventing vascular disease progression. By motivating vascular diseases effects on the human body, a mathematical model has been developed to discuss the blood flow phenomena and entropy estimation in the stenosed curved artery in the presence of a magnetic field and the Hall effect. The patient-specific condition of elliptic shape stenosis has been considered at the arterial wall. Blood is considered in the artery as two-phases; core and plasma region. Power-law fluid has been considered for core region fluid, while, Newtonian fluid is considered in the plasma region. The non-dimensional governing equations have been discretized using the second-order central difference method. Then, Stone's strongly implicit scheme is used in the ‘MATLAB’ software to solve a system of nonlinear partial differential equations (PDEs). A computing error tolerance of 10−6 has been set for each iteration step throughout the computing process. The influence of various parameters such Hall parameter (m), Brinkman number (Br), flow behavior index (q), Radiation parameter (N), magnetic field (M), arterial curvature, etc., have been discussed graphically. The present study concludes that the heat transfer rate enhances with the increase in the Hall parameter values while wall shear stress reduces with it. In addition, the chances of stenosis deposition rise for highly curvature arteries, and also blood produces more entropy with the increase in viscous heating and thermal radiation intensity. Results from the current computational study will aid clinical researchers in making more accurate predictions about the prevalence of vascular diseases.
  • No Thumbnail Available
    Item
    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.
  • No Thumbnail Available
    Item
    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
  • No Thumbnail Available
    Item
    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.
  • No Thumbnail Available
    Item
    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.