Grashof Number

14,000,000 Leading Edge Experts on the ideXlab platform

Scan Science and Technology

Contact Leading Edge Experts & Companies

Scan Science and Technology

Contact Leading Edge Experts & Companies

The Experts below are selected from a list of 4407 Experts worldwide ranked by ideXlab platform

R. Muthucumaraswamy - One of the best experts on this subject based on the ideXlab platform.

  • first order chemical reaction and thermal radiation effects on unsteady flow past an accelerated isothermal infinite vertical plate
    Indian journal of science and technology, 2011
    Co-Authors: R. Muthucumaraswamy, Ravi M Shankar
    Abstract:

    Theoretical solution of unsteady radiative flow past a uniformly accelerated isothermal infinite vertical plate with uniform mass diffusion is presented here, taking in to account the homogeneous chemical reaction of first order. The plate temperature is raised to T w and the concentration level near the plate is also raised to C / w . The dimensionless governing equations are solved using Laplace-transform technique. The velocity, temperature and concentration fields are studied for different physical parameters like thermal Grashof Number, mass Grashof Number, Schmidt Number, Prandtl Number, radiation parameter, chemical reaction parameter and time. It is observed that the velocity increases with increasing values of thermal Grashof Number or mass Grashof Number. But the trend is just reversed with respect to the thermal radiation parameter. It is also observed that the velocity increases with decreasing chemical reaction parameter.

  • mhd effects on flow past an infinite oscillating vertical plate in the presence of an optically thin gray gas
    2009
    Co-Authors: R. Muthucumaraswamy
    Abstract:

    Theoretical solution of unsteady MHD flow past an infinite vertical oscillating plate with variable temperature and uniform mass diffusion in the presence of thermal radiation has been studied. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature is raised linearly with respect to time and the concentration level near the plate is also raised to . An exact solution to the dimensionless governing equations has been obtained by the Laplace transform method, when the plate is oscillating harmonically in its own plane. The effects of velocity, temperature and concentration are studied for different parameters like phase angle, radiation parameter, magnetic field parameter, Schmidt Number, thermal Grashof Number, mass Grashof Number and time are studied. It is observed that the velocity increases with decreasing phase angle w C ′

  • unsteady flow past an accelerated infinite vertical plate with variable temperature and uniform mass diffusion
    2009
    Co-Authors: R. Muthucumaraswamy, Arumugam Pillai
    Abstract:

    Theoretical solution of unsteady flow past an uniformly accelerated infinite vertical plate has been presented in the presence of variable temperature and uniform mass diffusion. The plate temperature is raised linearly with time and species concentration level near the plate is made to rise ω C′ . The dimensionless governing equations are solved using Laplace-transform technique. The velocity profiles and concentration are studied for different physical parameters like thermal Grashof Number, mass Grashof Number, Schmidt Number and time. It is observed that the velocity increases with increasing values of thermal Grashof Number or mass Grashof Number. It is also observed that the velocity increases with decraesing values of the Schmidt Number.

  • first order chemical reaction on moving semi infinite vertical plate in the presence of optically thin gray gas
    2008
    Co-Authors: Paripurnanda Loganathan, T Kulandaivel, R. Muthucumaraswamy
    Abstract:

    Finite difference solution of the homogeneous first order chemical reaction on unsteady flow past an impulsively started semi-infinite vertical plate with variable temperature and mass diffusion in the presence of thermal radiation have been studied. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The dimensionless governing equations are solved by an efficient, more accurate, unconditionally stable and fast converging implicit scheme. The effect of velocity and temperature for different parameters like chemical reaction parameter, radiation parameter, thermal Grashof Number, mass Grashof Number, Schmidt Number and time are studied. The velocity profiles are compared with available exact solution in the literature and found be in good agreement. It is observed that the velocity decreases in the presence of thermal radiation. It is also observed that due to the presence of first order chemical reaction, the velocity increases during generative reaction and decreases in destructive reaction.

  • mhd and radiation effects on moving isothermal vertical plate with variable mass diffusion
    Theoretical and Applied Mechanics, 2006
    Co-Authors: R. Muthucumaraswamy, B Janakiraman
    Abstract:

    An analysis is performed to study the efiects of thermal radiation on unsteady free convective ∞ow over a moving vertical plate with mass transfer in the presence of magnetic fleld. The ∞uid considered here is a gray, absorbing-emitting radiation but a nonscattering medium. The plate temperature is raised to T 0 w and the concentration level near the plate is also raised linearly with time. The dimensionless governing equations are solved using the Laplace transform technique. The velocity, temperature and concentration are studied for difierent parameters like the magnetic fleld parameter, radiation parameter, thermal Grashof Number, mass Grashof Number and time. It is observed that the velocity decreases with increasing magnetic fleld parameter or radiation parameter.

Sewli Chatterjee - One of the best experts on this subject based on the ideXlab platform.

  • soret and dufour effects on mhd convective heat and mass transfer of a power law fluid over an inclined plate with variable thermal conductivity in a porous medium
    Applied Mathematics and Computation, 2013
    Co-Authors: Dulal Pal, Sewli Chatterjee
    Abstract:

    A numerical model is developed to study the MHD mixed convection with the combined action of Soret and Dufour on heat and mass transfer of a power-law fluid over an inclined plate in a porous medium in the presence of variable thermal conductivity, thermal radiation, chemical reaction and Ohmic dissipation and suction/injection. The governing boundary layer equations for momentum, energy and species mass diffusion are transformed to a set of nonlinear ordinary differential equations by using similarity solutions which are then solved numerically based on shooting method with Runge-Kutta Fehlberg integration scheme over the entire range of physical parameters with appropriate boundary conditions. The influence of inverse Darcy Number, Soret Number and Dufour Number, chemical reaction parameter, thermal Grashof Number and solutal Grashof Number on velocity, temperature and concentration fields are studied graphically. Finally, the effects of related physical parameters on local skin-friction, local Nusselt Number and local Sherwood Number are also studied. Results showed that the temperature and concentration fields were influenced appreciably by the Soret and Dufour effects.

  • mixed convection magnetohydrodynamic heat and mass transfer past a stretching surface in a micropolar fluid saturated porous medium under the influence of ohmic heating soret and dufour effects
    Communications in Nonlinear Science and Numerical Simulation, 2011
    Co-Authors: Dulal Pal, Sewli Chatterjee
    Abstract:

    Abstract A numerical model is developed to examine the combined effects of Soret and Dufour on mixed convection magnetohydrodynamic heat and mass transfer in micropolar fluid-saturated Darcian porous medium in the presence of thermal radiation, non-uniform heat source/sink and Ohmic dissipation. The governing boundary layer equations for momentum, angular momentum (microrotation), energy and species transfer are transformed to a set of non-linear ordinary differential equations by using similarity solutions which are then solved numerically based on shooting algorithm with Runge–Kutta–Fehlberg integration scheme over the entire range of physical parameters with appropriate boundary conditions. The influence of Darcy Number, Prandtl Number, Schmidt Number, Soret Number and Dufour Number, magnetic parameter, local thermal Grashof Number and local solutal Grashof Number on velocity, temperature and concentration fields are studied graphically. Finally, the effects of related physical parameters on local Skin-friction, local Nusselt Number and local Sherwood Number are also studied. Results showed that the fields were influenced appreciably by the Soret and Dufour effects, thermal radiation and magnetic field, etc.

Moonuhn Kim - One of the best experts on this subject based on the ideXlab platform.

  • multicellular natural convection of a low prandtl Number fluid between horizontal concentric cylinders
    Numerical Heat Transfer Part A-applications, 1994
    Co-Authors: Joosik Yoo, Jun Young Choi, Moonuhn Kim
    Abstract:

    Abstract Two-dimensional natural convection of a fluid of low Prandtl Number (Pr = 0.02) in an annulus between two concentric horizontal cylinders is numerically investigated in a wide range of gap widths. For low Grashof Numbers, a steady unicellular convection is obtained. Above a transition Grashof Number that depends on the gap width, a steady bicellular flow occurs. With further increase of the Grashof Number, steady or time-periodic multicellular convection occurs, and finally, complex unsteady convective flow appears. A plot is presented that predicts the type of flow patterns for various combinations of gap widths and Grashof Numbers.

Gnaneswara M Reddy - One of the best experts on this subject based on the ideXlab platform.

  • hydromagnetic peristaltic motion of a reacting and radiating couple stress fluid in an inclined asymmetric channel filled with a porous medium
    alexandria engineering journal, 2016
    Co-Authors: Gnaneswara M Reddy, Venugopal K Reddy, Oluwole Daniel Makinde
    Abstract:

    Abstract The aim of the present attempt was to investigate the hydromagnetic peristaltic motion of a reacting and radiating couple stress fluid in an inclined asymmetric channel filled with a porous medium. The governing equations for the flow with heat and mass transfer are presented. The Mathematical modeling is investigated by utilizing long wavelength and low Reynolds Number assumptions. The exact solution has been evaluated for the stream function, velocity, temperature, concentration and pressure gradient. The pressure rise solution has been simplified using numerical integration. The effects of Hartmann Number, Darcy Number, thermal Grashof Number, couple stress parameter, thermal radiation parameter, species Grashof Number, heat generation parameter, inclination angle and chemical reaction parameter on the velocity characteristics, heat and mass transfer characteristics and pumping characteristics are presented through graphically and discussed in detail.

  • soret and dufour effects on steady mhd free convection flow past a semi infinite moving vertical plate in a porous medium with viscous dissipation
    2010
    Co-Authors: Gnaneswara M Reddy, Bhaskar N Reddy
    Abstract:

    A steady two-dimensional MHD free convection flow viscous dissipating fluid past a semiinfinite moving vertical plate in a porous medium with Soret and Dufour effects is analyzed. The governing partial differential equations are non-dimensionalized and transformed into a system of nonlinear ordinary differential similarity equations, in a single independent variable  . The resulting coupled, nonlinear equations are solved under appropriate transformed boundary conditions using the Runge-Kutta fourth order with Shooting method. Computations are performed for a wide range of the governing flow parameters, viz., the thermal Grashof Number, solutal Grashof Number, magnetic field parameter, Prandtl Number, Eckert Number (viscous heating effect), Dufour Number, Schmidt Number and Soret Number. The effects of these flow parameters on the velocity, temperature and concentration are shown graphically. Finally, the effects of various parameters on the skin-friction coefficient, Nusselt Number and Sherwood Number are shown in Tables.

Ioan Pop - One of the best experts on this subject based on the ideXlab platform.

  • natural convection heat transfer in a partially opened cavity filled with porous media
    International Journal of Heat and Mass Transfer, 2011
    Co-Authors: Khaled Alsalem, Hakan F Oztop, Yasin Varol, Ioan Pop
    Abstract:

    This paper examines the steady natural convection in a partially opened enclosure filled with porous media using the Brinkman–Forchheimer model. Whilst the part of the left vertical wall of the cavity is heated, the other walls are adiabatic or thermally insulated Based upon numerical predictions, the effects of pertinent parameters such as Grashof Number, Darcy Number, porosity, length of the heated wall and the location center of the opened cavity are examined. It is found that as the Grashof Number increases, due to strengthening buoyancy driven flows, the local Nusselt Number from partially heated vertical wall, at a given position on this wall increases. This, in turn, increases the temperature of the heated wall. The results of this study can be used in the design of an effective cooling system for electronic components to help ensure effective and safe operational conditions.

  • fully developed free convective flow of micropolar and viscous fluids in a vertical channel
    Applied Mathematical Modelling, 2010
    Co-Authors: Prathap J Kumar, Ali J Chamkha, J C Umavathi, Ioan Pop
    Abstract:

    The problem of fully-developed laminar free-convection flow in a vertical channel is studied analytically with one region filled with micropolar fluid and the other region with a viscous fluid. Using the boundary and interface conditions proposed by previous investigators, analytical expressions for linear velocity, micro-rotation velocity and temperature have been obtained. Numerical results are presented graphically for the distribution of velocity, micro-rotation velocity and temperature fields for varying physical parameters such as the ratio of Grashof Number to Reynolds Number, viscosity ratio, width ratio, conductivity ratio and micropolar fluid material parameter. It is found that the effect of the micropolar fluid material parameter suppress the velocity whereas it enhances the micro-rotation velocity. The effect of the ratio of Grashof Number to Reynolds Number is found to enhance both the linear velocity and the micro-rotation velocity. The effects of the width ratio and the conductivity ratio are found to enhance the temperature distribution.