Effect of Hall currents and chemical reaction on hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption

Salem, Ahmed M.; Elaziz, Mohamed Abd

doi:10.1016/j.apm.2007.03.008

Cited by 110 publications

(50 citation statements)

References 34 publications

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“…In this present study, it is important to state that exponential heat source is adopted to account for internal distribution of temperature in energy equation. This concept can be traced to the idea of Crepeau and Clarksean (1997), Salem and El-Aziz (2007), Salem and El-Aziz (2008), Reddy and Reddy (2011) and . The energy equation can be written as…”

Section: Mathematical Formulationmentioning

confidence: 99%

“…This necessitates the consideration of temperature dependent heat source(s) that may exert a strong influence on the heat transfer characteristics (see Salem and El-Aziz (2007)). Salem and El-Aziz (2008) further stated that exact modeling of internal heat generation or absorption is quite difficult and argued that some simple mathematical models can express its average behavior for most physical situations. Recently, reported that when the plastic dynamic viscosity and thermal conductivity of non-Newtonian Casson fluid are considered as temperature dependent, exponentially decaying internal heat generation parameter is an important dimensionless number that can be used to increase velocity and temperature of the fluid as it flows.…”

Section: Introductionmentioning

confidence: 99%

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Upper-Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Surface Situated in Hot Environment Subject to Thermal Stratification

Omowaye

Animasaun

2016

JAFM

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An upper-convected Maxwell (UCM) fluid flow over a melting surface situated in hot environment is studied. The influence of melting heat transfer and thermal stratification are properly accounted for by modifying the classical boundary condition of temperature to account for both. It is assumed that the ratio of inertia forces to viscous forces is high enough for boundary layer approximation to be valid. The corresponding influence of exponentially space dependent internal heat generation on viscosity and thermal conductivity of UCM is properly considered. The dynamic viscosity and thermal conductivity of UCM are temperature dependent. Classical temperature dependent viscosity and thermal conductivity models are modified to suit the case of both melting heat transfer and thermal stratification. The governing non-linear partial differential equations describing the problem are reduced to a system of nonlinear ordinary differential equations using similarity transformations and completed the solution numerically using the Runge-Kutta method along with shooting technique (RK4SM). The numerical procedure is validated by comparing the solutions of RK4SM with that of MATLAB based bvp4c. The results reveal that increase in stratification parameter corresponds to decrease in the heat energy entering into the fluid domain from freestream and this significantly reduces the overall temperature and temperature gradient of UCM fluid as it flows over a melting surface. The transverse velocity, longitudinal velocity and temperature of UCM are increasing function of temperature dependent viscous and thermal conductivity parameters. At a constant value of melting parameter, the local skin-friction coefficient and heat transfer rate increases with an increase in Deborah number.

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Section: Mathematical Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Upper-Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Surface Situated in Hot Environment Subject to Thermal Stratification

Omowaye

Animasaun

2016

JAFM

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“…Boundary layer studies of stretching surfaces have a rich history starting with the work of Crane [18]. More recent studies include Mahapatra et al [19], Salem and abd El-Aziz [20] and Noor et al [21]. The interest in boundary layer stretching sheet flow problems has partly been driven by industrial processes where such flows occur or may apply.…”

Section: Introductionmentioning

confidence: 99%

Impulsive nanofluid flow along a vertical stretching cone

Ahamed¹,

Mondal²,

Sibanda³

2017

IJHT

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We study the unsteady convective flow of two water-based nanofluids containing Copper and Titanium oxide along a vertical stretching or shrinking cone with viscous dissipation and internal heat generation. The problem is transformed to two-dimensional flow over a cone using Mangler's transformation. The coupled nonlinear conservation equations are solved numerically using the spectral local linearization method. We present an analysis of how some physical parameters affect the flow structure, the heat and mass transfer rates and the fluid properties. The accuracy of the results is determined by comparison with previously published studies, for some limiting cases.

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“…The essential difference between flow with a constant reference velocity and a variable velocity flow is that the particle velocity and thickness of the boundary layer change with time. While various aspects of boundary layer problems with constant reference velocity have been studied [3][4][5], the effect of non-steady motion of a surface has been explored to a much lesser extent [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Magnetic actuation of catalytic microparticles for the enhancement of mass transfer rate in a flow reactor

Lisk

Bonnot

Rahman

et al. 2016

Chemical Engineering Journal

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Permanent WRAP URL:http://wrap.warwick.ac.uk/81857 Copyright and reuse:The Warwick Research Archive Portal (WRAP) makes this work by researchers of the University of Warwick available open access under the following conditions. Copyright © and all moral rights to the version of the paper presented here belong to the individual author(s) and/or other copyright owners. To the extent reasonable and practicable the material made available in WRAP has been checked for eligibility before being made available.Copies of full items can be used for personal research or study, educational, or not-for-profit purposes without prior permission or charge. Provided that the authors, title and full bibliographic details are credited, a hyperlink and/or URL is given for the original metadata page and the content is not changed in any way. A note on versions:The version presented here may differ from the published version or, version of record, if you wish to cite this item you are advised to consult the publisher's version. Please see the 'permanent WRAP URL' above for details on accessing the published version and note that access may require a subscription. AbstractThe effect of periodic changes in particle velocity on mass transfer to the reacting surface of a magnetic particle with a diameter 225 m in laminar flow has been investigated in a microfluidic reactor. The periodic particle motion in a fluid was investigated under a sinusoidal magnetic field generated by a quadrupole arrangement of electromagnets around the reactor. The effect of operating frequency of the rotating magnetic field, intensity of the magnetic field, and phase shift between the two sets of magnets on particle dynamics has been studied. Three particle motion modes have been observed depending on the frequency of the applied field. The mass transfer rate was estimated under steady velocity and variable velocity of the particle using a mass transfer correlation by Feng and Michaelides (Int. J. Heat Mass Transfer 44 (2001) 4445). The validity of this correlation for the case of variable particle velocity has been confirmed with a 2D numerical model, describing actual hydrodynamics and mass transfer towards the particle surface. The mass transfer coefficient *Revised Manuscript (clean for typesetting) Click here to view linked References 2 depends both on the mean particle velocity and the deviation of velocity from the mean value.The periodic movement with variable particle velocity reduces the mass transfer coefficient by 7.6% as compared to steady state motion with the same mean velocity.

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Effect of Hall currents and chemical reaction on hydromagnetic flow of a stretching vertical surface with internal heat generation/absorption

Cited by 110 publications

References 34 publications

Upper-Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Surface Situated in Hot Environment Subject to Thermal Stratification

Upper-Convected Maxwell Fluid Flow with Variable Thermo-Physical Properties over a Melting Surface Situated in Hot Environment Subject to Thermal Stratification

Impulsive nanofluid flow along a vertical stretching cone

Magnetic actuation of catalytic microparticles for the enhancement of mass transfer rate in a flow reactor

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