Physical aspects of heat generation/absorption in the second grade fluid flow due to Riga plate: Application of Cattaneo-Christov approach

The present article concentrates on thermal stratification in the flow of second grade fluid past a Riga plate with linear stretching towards a stagnation region. Heat transfer phenomenon is disclosed with heat generation/absorption. Riga plate is known as electromagnetic actuator which comprises of...

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Main Authors: Aisha Anjum, N.A. Mir, M. Farooq, M. Javed, S. Ahmad, M.Y. Malik, A.S. Alshomrani
Format: Article
Language:English
Published: Elsevier 2018-06-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379718301438
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spelling doaj-b294da4735b040d48fe1090723c83ca42020-11-24T22:43:58ZengElsevierResults in Physics2211-37972018-06-019955960Physical aspects of heat generation/absorption in the second grade fluid flow due to Riga plate: Application of Cattaneo-Christov approachAisha Anjum0N.A. Mir1M. Farooq2M. Javed3S. Ahmad4M.Y. Malik5A.S. Alshomrani6Department of Mathematics, Riphah International University, Islamabad 44000, Pakistan; Corresponding author.Department of Mathematics, Riphah International University, Islamabad 44000, PakistanDepartment of Mathematics, Riphah International University, Islamabad 44000, PakistanDepartment of Mathematics, Riphah International University, Islamabad 44000, PakistanDepartment of Mathematics, Riphah International University, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan; Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThe present article concentrates on thermal stratification in the flow of second grade fluid past a Riga plate with linear stretching towards a stagnation region. Heat transfer phenomenon is disclosed with heat generation/absorption. Riga plate is known as electromagnetic actuator which comprises of permanent magnets and alternating electrodes placed on a plane surface. Cattaneo-Christov heat flux model is implemented to analyze the features of heat transfer. This new heat flux model is the generalization of classical Fourier’s law with the contribution of thermal relaxation time. For the first time heat generation/absorption effect is computed with non-Fourier’s law of heat conduction (i.e., Cattaneo-Christov heat flux model). Transformations are used to obtain the governing non-linear ordinary differential equations. Approximate convergent solutions are developed for the non-dimensionalized governing problems. Physical features of velocity and temperature distributions are graphically analyzed corresponding to various parameters in 2D and 3D. It is noted that velocity field enhances with an increment of modified Hartman number while it reduces with increasing variable thickness parameter. Increment in modified heat generation parameter results in reduction of temperature field. Keywords: Stagnation point, Cattaneo-Christov theory, Thermal stratification, Riga plate, Linear stretching, Heat generation/absorptionhttp://www.sciencedirect.com/science/article/pii/S2211379718301438
collection DOAJ
language English
format Article
sources DOAJ
author Aisha Anjum
N.A. Mir
M. Farooq
M. Javed
S. Ahmad
M.Y. Malik
A.S. Alshomrani
spellingShingle Aisha Anjum
N.A. Mir
M. Farooq
M. Javed
S. Ahmad
M.Y. Malik
A.S. Alshomrani
Physical aspects of heat generation/absorption in the second grade fluid flow due to Riga plate: Application of Cattaneo-Christov approach
Results in Physics
author_facet Aisha Anjum
N.A. Mir
M. Farooq
M. Javed
S. Ahmad
M.Y. Malik
A.S. Alshomrani
author_sort Aisha Anjum
title Physical aspects of heat generation/absorption in the second grade fluid flow due to Riga plate: Application of Cattaneo-Christov approach
title_short Physical aspects of heat generation/absorption in the second grade fluid flow due to Riga plate: Application of Cattaneo-Christov approach
title_full Physical aspects of heat generation/absorption in the second grade fluid flow due to Riga plate: Application of Cattaneo-Christov approach
title_fullStr Physical aspects of heat generation/absorption in the second grade fluid flow due to Riga plate: Application of Cattaneo-Christov approach
title_full_unstemmed Physical aspects of heat generation/absorption in the second grade fluid flow due to Riga plate: Application of Cattaneo-Christov approach
title_sort physical aspects of heat generation/absorption in the second grade fluid flow due to riga plate: application of cattaneo-christov approach
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2018-06-01
description The present article concentrates on thermal stratification in the flow of second grade fluid past a Riga plate with linear stretching towards a stagnation region. Heat transfer phenomenon is disclosed with heat generation/absorption. Riga plate is known as electromagnetic actuator which comprises of permanent magnets and alternating electrodes placed on a plane surface. Cattaneo-Christov heat flux model is implemented to analyze the features of heat transfer. This new heat flux model is the generalization of classical Fourier’s law with the contribution of thermal relaxation time. For the first time heat generation/absorption effect is computed with non-Fourier’s law of heat conduction (i.e., Cattaneo-Christov heat flux model). Transformations are used to obtain the governing non-linear ordinary differential equations. Approximate convergent solutions are developed for the non-dimensionalized governing problems. Physical features of velocity and temperature distributions are graphically analyzed corresponding to various parameters in 2D and 3D. It is noted that velocity field enhances with an increment of modified Hartman number while it reduces with increasing variable thickness parameter. Increment in modified heat generation parameter results in reduction of temperature field. Keywords: Stagnation point, Cattaneo-Christov theory, Thermal stratification, Riga plate, Linear stretching, Heat generation/absorption
url http://www.sciencedirect.com/science/article/pii/S2211379718301438
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