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...
Main Authors: | , , , , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Elsevier
2018-06-01
|
Series: | Results in Physics |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379718301438 |
id |
doaj-b294da4735b040d48fe1090723c83ca4 |
---|---|
record_format |
Article |
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 |
work_keys_str_mv |
AT aishaanjum physicalaspectsofheatgenerationabsorptioninthesecondgradefluidflowduetorigaplateapplicationofcattaneochristovapproach AT namir physicalaspectsofheatgenerationabsorptioninthesecondgradefluidflowduetorigaplateapplicationofcattaneochristovapproach AT mfarooq physicalaspectsofheatgenerationabsorptioninthesecondgradefluidflowduetorigaplateapplicationofcattaneochristovapproach AT mjaved physicalaspectsofheatgenerationabsorptioninthesecondgradefluidflowduetorigaplateapplicationofcattaneochristovapproach AT sahmad physicalaspectsofheatgenerationabsorptioninthesecondgradefluidflowduetorigaplateapplicationofcattaneochristovapproach AT mymalik physicalaspectsofheatgenerationabsorptioninthesecondgradefluidflowduetorigaplateapplicationofcattaneochristovapproach AT asalshomrani physicalaspectsofheatgenerationabsorptioninthesecondgradefluidflowduetorigaplateapplicationofcattaneochristovapproach |
_version_ |
1725693528031363072 |