UNSTEADY HEAT TRANSFER FLOW OF A CASSON FLUID WITH NEWTONIAN HEATING AND THERMAL RADIATION

This study investigates the unsteady heat transfer flow of a non-Newtonian Casson fluid over an oscillating vertical plate with Newtonian heating on the wall under the effects of thermal radiation. With the help of non-dimensional variables, governing equations are written into dimensionless form and then solved analytically by Laplace transform technique to find the solutions of temperature and velocity. The corresponding solutions of Nusselt number and skin friction are also calculated. The solution in term of viscous fluid is recovered as a limiting case of this work. The effects of the pertinent parameters on temperature and velocity are presented graphically and discussed details in this paper.

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UNSTEADY HEAT TRANSFER FLOW OF A CASSON FLUID WITH NEWTONIAN HEATING AND VARIABLE VELOCITY

JP Journal of Heat and Mass Transfer ◽

10.17654/0973576321002 ◽

2021 ◽

Vol 24 (2) ◽

pp. 227-240

Author(s):

K. V. Chandra Sekhar

Keyword(s):

Heat Transfer ◽

Casson Fluid ◽

Variable Velocity ◽

Newtonian Heating ◽

Unsteady Heat Transfer ◽

Transfer Flow

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Slip effects on unsteady free convective heat and mass transfer flow with Newtonian heating

Thermal Science ◽

10.2298/tsci131119142a ◽

2016 ◽

Vol 20 (6) ◽

pp. 1939-1852 ◽

Cited By ~ 4

Author(s):

Abid Hussanan ◽

Ilyas Khan ◽

Mohd Salleh ◽

Sharidan Shafie

Keyword(s):

Vertical Plate ◽

Fluid Velocity ◽

Convection Flow ◽

Newtonian Heating ◽

Governing Equations ◽

Free Convection Flow ◽

Slip Effects ◽

Laplace Transform Technique ◽

The Laplace Transform ◽

Transfer Flow

This article investigates the effects of slip condition on free convection flow of viscous incompressible fluid past an oscillating vertical plate with Newtonian heating and constant mass diffusion. The governing equations together with imposed initial and boundary conditions are solved using the Laplace transform technique. The results for velocity, temperature and concentration are obtained and plotted for the embedded parameters. The results for skin friction, Nusselt number and Sherwood number are computed in table. It is investigated that the presence of slip parameter reduces the fluid velocity.

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Radiation and Chemical Reaction Effects on Unsteady Double Diffusive Convective Flow past an Oscillating Surface with Constant Heat Flux

ISRN Chemical Engineering ◽

10.1155/2013/846826 ◽

2013 ◽

Vol 2013 ◽

pp. 1-8 ◽

Cited By ~ 2

Author(s):

Arpita Jain

Keyword(s):

Chemical Reaction ◽

Radiation Effects ◽

Vertical Plate ◽

Constant Heat Flux ◽

Governing Equations ◽

Flow Past ◽

Constant Rate ◽

Laplace Transform Technique ◽

Flow Variables ◽

Transfer Flow

This paper presents an analysis of combined heat and mass transfer flow past an oscillating vertical plate under the action of radiation effects and chemical reaction when heat is supplied to the plate at constant rate. The governing equations are solved in closed form by Laplace-transform technique. The results are obtained for temperature, concentration, velocity, skin friction, Nusselt number, and Sherwood number. The effects of various parameters on flow variables are illustrated graphically, and the physical aspects of the problem are discussed.

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Mathematical fractional modeling of transpot phenomena of viscous fluid-flow between two plates

Thermal Science ◽

10.2298/tsci21s2417a ◽

2021 ◽

Vol 25 (Spec. issue 2) ◽

pp. 417-421

Author(s):

Muhammad Asadullah ◽

Ali Raza ◽

Muhammad Ikram ◽

Muhammad Asjad ◽

Rabia Naz ◽

...

Keyword(s):

Heat Transfer ◽

Fluid Flow ◽

Governing Equations ◽

Viscous Fluid Flow ◽

Physical Behavior ◽

Fractional Modeling ◽

Laplace Transform Technique ◽

Mass And Heat Transfer ◽

Transfer Flow ◽

Adhesive Fluid

This work is about the mass and heat transfer flow for adhesive fluid between two upright plates pulled apart by a distance, d. Fractional model of the considered problem is developed after making governing equations dimensionless. Laplace transform technique is utilized to acquire analytical solutions and some graphics are presented to see the physical behavior of embedded parameters.

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An Exact Analysis of Heat and Mass Transfer Past a Vertical Plate with Newtonian Heating

Journal of Applied Mathematics ◽

10.1155/2013/434571 ◽

2013 ◽

Vol 2013 ◽

pp. 1-9 ◽

Cited By ~ 21

Author(s):

Abid Hussanan ◽

Ilyas Khan ◽

Sharidan Shafie

Keyword(s):

Heat Transfer ◽

Mass Transfer ◽

Nusselt Number ◽

Skin Friction ◽

Heat And Mass Transfer ◽

Vertical Plate ◽

Newtonian Heating ◽

Governing Equations ◽

Exact Analysis ◽

Temperature Distributions

An exact analysis of heat and mass transfer past an oscillating vertical plate with Newtonian heating is presented. Equations are modelled and solved for velocity, temperature, and concentration using Laplace transforms. The obtained solutions satisfy governing equations and conditions. Expressions of skin friction, Nusselt number, and Sherwood number are obtained and presented in tabular forms. The results show that increasing the Newtonian heating parameter leads to increase velocity and temperature distributions whereas skin friction decreases and rate of heat transfer increases.

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Soret and Radiation Effects on Transient MHD Free Convection From an Impulsively Started Infinite Vertical Plate

Journal of Heat Transfer ◽

10.1115/1.4005749 ◽

2012 ◽

Vol 134 (6) ◽

Cited By ~ 15

Author(s):

N. Ahmed

Keyword(s):

Heat Transfer ◽

Mass Transfer ◽

Free Convection ◽

Thermal Radiation ◽

Skin Friction ◽

Vertical Plate ◽

Soret Effect ◽

Viscous Drag ◽

Laplace Transform Technique ◽

Infinite Vertical Plate

An exact solution to the problem of MHD transient free convection and mass transfer flow of a viscous, incompressible, and electrically conducting fluid past a suddenly started infinite vertical plate taking into account the thermal diffusion as well as the thermal radiation is presented. Assuming the medium to be nonscattered and the fluid to be nongray, emitting–absorbing, and optically thin radiation limit properties, the equations governing the flow and heat and mass transfer are solved by Laplace transform technique. The expressions for the velocity field, the concentration field, the skin friction at the plate in the direction of the flow, and the coefficient of heat transfer and mass transfer from the plate to the fluid have been obtained, and their numerical values for different values of the physical parameters involved in the problem have been demonstrated in graphs and tables, and these are physically interpreted. It is found that the thermal radiation retards the fluid flow whereas the Soret effect accelerates the flow. The viscous drag on the plate is increased under the Soret and magnetic field effects whereas the thermal radiation reduces the skin friction. Further, the rate of heat transfer at the plate increases under thermal radiation effect. Also, in the presence of radiation, the Soret effect results in a steady increase in the mass flux from the fluid to the plate.

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Caputo Fractional MHD Casson Fluid Flow Over an Oscillating Plate with Thermal Radiation

Journal of Advanced Research in Fluid Mechanics and Thermal Sciences ◽

10.37934/arfmts.85.2.145158 ◽

2021 ◽

Vol 85 (2) ◽

pp. 145-158

Author(s):

Ridhwan Reyaz ◽

Yeou Jiann Lim ◽

Ahmad Qushairi Mohamad ◽

Muhammad Saqib ◽

Sharidan Shafie

Keyword(s):

Differential Equations ◽

Thermal Radiation ◽

Numerical Approach ◽

Casson Fluid ◽

Physical Parameters ◽

Fractional Partial Differential Equations ◽

Governing Equations ◽

Laplace Transform Technique ◽

The Laplace Transform ◽

Oscillating Plate

The effect of the thermal radiation on the MHD Casson fluid along with the fractional derivative in an oscillating vertical plate is elucidated. More exactly, the Caputo fractional model is utilized in developing the governing equations. Besides, the influence of the buoyancy force due to the temperature gradient has also been considered. The derived fractional partial differential equations are converted into ordinary differential equations by using the Laplace transform technique and then are solved for analytical solutions via the characteristic method. The inversion of the Laplace transformation is obtained through the numerical approach of Zakian. The effects of various physical parameters on the velocity and temperature profiles, Nusselt number, and skin friction have been analyzed and depicted in graphs and tables. The distribution of the velocity and temperature either in viscous or Casson fluid do enhance by the fractional parameter.

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Unsteady Boundary Layer Flow and Heat Transfer of a Casson Fluid past an Oscillating Vertical Plate with Newtonian Heating

PLoS ONE ◽

10.1371/journal.pone.0108763 ◽

2014 ◽

Vol 9 (10) ◽

pp. e108763 ◽

Cited By ~ 36

Author(s):

Abid Hussanan ◽

Mohd Zuki Salleh ◽

Razman Mat Tahar ◽

Ilyas Khan

Keyword(s):

Heat Transfer ◽

Boundary Layer ◽

Boundary Layer Flow ◽

Vertical Plate ◽

Casson Fluid ◽

Newtonian Heating ◽

Unsteady Boundary Layer ◽

Flow And Heat Transfer ◽

Layer Flow

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Combined Effects of Thermal Radiation and Nanoparticles on Free Convection Flow and Heat Transfer of Casson Fluid over a Vertical Plate

International Journal of Chemical Engineering ◽

10.1155/2018/7305973 ◽

2018 ◽

Vol 2018 ◽

pp. 1-25 ◽

Cited By ~ 3

Author(s):

M. G. Sobamowo

Keyword(s):

Heat Transfer ◽

Differential Equations ◽

Free Convection ◽

Thermal Radiation ◽

Vertical Plate ◽

Volume Fraction ◽

Casson Fluid ◽

Convection Flow ◽

Free Convection Flow ◽

Flow And Heat Transfer

The influences of thermal radiation and nanoparticles on free convection flow and heat transfer of Casson nanofluids over a vertical plate are investigated. The governing systems of nonlinear partial differential equations of the flow and heat transfer processes are converted to systems of nonlinear ordinary differential equations through similarity transformations. The resulting systems of fully coupled nonlinear ordinary differential equations are solved using the differential transformation method with Padé-approximant technique. The accuracies of the developed analytical methods are verified by comparing their results with the results of past works as presented in the literature. Thereafter, the analytical solutions are used to investigate the effects of thermal radiation, Prandtl number, nanoparticle volume fraction, shape, and type on the flow and heat transfer behaviour of various nanofluids over the flat plate. It is observed that both the velocity and temperature of the nanofluid as well as the viscous and thermal boundary layers increase with increase in the thermal radiation parameter. The velocity of the nanofluid decreases and the temperature of the nanofluid increase, respectively, as the Prandtl number and volume fraction of the nanoparticles in the base fluid increase. The decrease in velocity and increase in temperature are highest in lamina-shaped nanoparticle and followed by platelet-, cylinder-, brick-, and sphere-shaped nanoparticles, respectively. Using a common base fluid to all the nanoparticle types, it is established that the decrease in velocity and increase in temperature are highest in TiO2 and followed by CuO, Al2O3, and SWCNT nanoparticles, in that order. It is hoped that the present study will enhance the understanding of free convection boundary layer problems of Casson fluid under the influences of thermal radiation and nanoparticles as applied in various engineering processes.

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