75 research outputs found

    Chemical reaction effects on vertical oscillating plate with variable temperature

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    A free convective flow of a viscous incompressible flow past an infinite vertical oscillating plate with variable temperature and uniform mass diffusion is presented here, taking into account the homogeneous chemical reaction of the first-order. The plate temperature is raised linearly with respect to time, and the concentration level near the plate is raised to Cw′ . 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 and concentration are studied for different parameters like phase angle, chemical reaction parameter, Schmidt number and time. It is observed that the velocity increases with the decrease of the phase angle ωt or a chemical reaction parameter

    Exact solution of thermal radiation on vertical oscillating plate with variable temperature and mass flux

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    Thermal radiation effects on unsteady flow past an infinite vertical oscillating plate in the presence of variable temperature and uniform mass flux is considered. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The plate temperature is raised linearly with time and the mass is diffused from the plate to the fluid at an uniform rate. The dimensionless governing equations are solved using the Laplace transform technique. The velocity, concentration and temperature are studied for different physical parameters like the phase angle, radiation parameter, Schmidt number, thermal Grashof number, mass Grashof number and time. It is observed that the velocity increases with decreasing phase angle ωt

    Volume 19 (1) 2013

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    Thermal radiation effects on unsteady flow past an oscillating semi-infinite isothermal vertical plate with uniform mass flux have been studied. The fluid considered here is a gray, absorbing-emitting radiation but non-scattering medium. The dimensionless governing equations are solved by an efficient, more accurate, and unconditionally stable and fast converging implicit scheme. The effect of velocity and temperature for different parameters like thermal radiation, Schmidt number, thermal Grashof number and mass Grashof number are studied. It is observed that the velocity decreases in the presence of thermal radiation.Pozna

    First Order Chemical Reaction and Hall Effect on MHD Flow past an Infinite Vertical Plate in the Presence of Rotating Fluid with Variable Mass

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    Combined study of first order chemical reaction and Hall current on MHD flow past an accelerated infinite vertical plate in the presence of rotating fluid with variable mass diffusion has been analyzed. The effects of Hall parameter (m), Hartmann number (M), an imposed rotation parameter (Ω non-dimensional angular velocity),Thermal Grashof's number(Gr) and mass Grashof's number (Gc) on axial and transverse velocity profiles are presented graphically. It is found that when , the transverse velocity component vanishes and axial velocity attains a maximum value

    Heat transfer effects on flow past an exponentially accelerated vertical plate with variable temperature

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    An exact solution to the problem of flow past an exponentially accelerated infinite vertical plate with variable temperature is analyzed. The temperature of the plate is raised linearly with time t. The dimensionless governing equations are solved using Laplace-transform technique. The velocity and temperature profiles are studied for different physical parameters like thermal Grashof number Gr, time and an accelerating parameter a. It is observed that the velocity increases with increasing values of a or Gr

    Radiation effects on flow past an impulsively started vertical plate with variable temperature and mass flux

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    An analysis is performed to study the thermal radiation effects on unsteady free convective flow over a moving vertical plate in the presence of variable temperature and uniform mass flux. The fluid considered here is a gray, absorbing-emitting radiation but a non-scattering medium. The temperature is raised linearly with time and the concentration level near the plate are raised linearly with time. The dimensionless governing equations are solved using the Laplace transform technique. The velocity and skinfriction are studied for different parameters like the radiation parameter, Schmidt number, thermal Grashof number, mass Grashof number and time. It is observed that the velocity increases with decreasing radiation parameter

    Closed Form Solution for Parabolic Flow of a Inclined Isothermal Plate With Uniform Mass Diffusion

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    The fluid flow across an unbounded horizontal plate embedded with uniform mass diffusion is studied in this article together with the impacts of the chemical reaction and parabolic motion, while the temperature and concentration of the plate remain constant. Using initial and boundary conditions, partial differential equations were used to describe this phenomenon. Introduce some appropriate non-dimensional variables and utilize the Laplace transform method to solve the corresponding dimensionless equations. The following analytical remedies for heat, velocity and concentration profiles were produced in terms of exponential and (erfc) complementary error functions. A MATLAB programme is used to exhibit the results as graphs for various parameters. By creating graphs, we may assess the characteristics of the velocity, Heat and concentration while also studying the physical aspects for various factors

    Chemical Reactive Flow past a Parabolic Vertical Plate with Exponentially Accelerated Temperature and Uniform Mass Transfer

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    The topic of flow across an infinitely wide parabolic vertical sheet with accelerating reactions of chemicals and heating is addressed in this article. The Laplace transform method is used to rectify the dimensioned equations that govern of movement into a set of non-dimensional regulating mathematical equations of motion. It is found that thermal energy as well as chemical responses have a substantial impact on the rates of both mass and heat transmission. Using analytical formulas, create temperatures, concentrations, and velocity personas. The physical aspects of various components, including acceleration (a), thermal radiation parameter (R), chemical reaction parameter (K), thermal Grashof number (Gr), mass Grashof number (Gc), Schmidt number (Sc), Prandtl number (Pr), and time variable (t) are investigated. By drawing graphs, characteristics of the velocity, temperature, and concentration are examined

    Finite Difference Analysis of Thermal Radiation and MHD Effects on Flow past an Oscillating Semi-Infinite Vertical Plate with Variable Temperature and Uniform Mass Flux

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    MHD and thermal radiation effects on unsteady flow past an oscillating semi-infinite vertical plate with variable surface temperature and uniform mass flux have been studied. The dimensionless governing equations are solved by an efficient, more accurate, unconditionally stable and fast converging implicit finite difference scheme. The effect of velocity, concentratiion and temperature profiles for different parameters like magnetic field , thermal radiation, Schmidt number, thermal Grashof number, mass Grashof number are studied. It is observed that the velocity decreases with increasing values of the magnetic field parameter or radiation parameter

    HALL EFFECTS ON MHD FLOW PAST AN INFINITE VERTICAL PLATE IN THE PRESENCE OF ROTATING FLUID OF VARIABLE TEMPERATURE AND MASS DIFFUSION WITH FIRST ORDER CHEMICAL REACTION

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    ABSTRACT Combined study of Hall current and rotation on MHD flow past an accelerated infinite vertical plate in the presence of rotating fluid of variable temperature and mass diffusion with first order chemical reaction has been analyzed. The effects of Hall parameter, Hartmann number, an imposed rotation parameter, thermal Grashof number and mass Grashof number on axial and transverse velocity profiles are presented graphically. It is found that when , the transverse velocity component vanishes and axial velocity attains a maximum value. Keywords: hall parameter, MHD flow, rotation, chemical reaction. INTRODUCTION The phenomenon of MHD flow with heat and mass transfer with chemical reaction have been a subject of interest of many researchers because if its varied applications in science and technology. Heat and Mass transfer problems with chemical reaction are important in many processes such as drying, energy transfer in a wet cooling tower etc., when the strength of the magnetic field is strong; the effect of hall current is negligible. It is of considerable importance and interest to study how the results of the hydro dynamical problems get modified by the effect of hall currents. Dulal Pal Diffusion rates can be altered tremendously by chemical reactions. The effect of a chemical reaction depend whether the reaction is homogeneous or heterogeneous. This depends on whether they occur at an interface or as a single phase volume reaction. In well
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