A frame work for heat generation/absorption and modified homogeneous–heterogeneous reaction in flow based on non-Darcy–Forchheimer medium

The present work aims to report the consequences of Darcy–Forchheimer medium in flow of Cross fluid model toward a stretched surface. Flow in porous space is categorized by Darcy–Forchheimer medium. Further heat transfer characteristics are examined via thermal radiation and heat generation/absorpti...

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Main Authors: Tasawar Hayat, Salman Ahmad, Muhammad I. Khan, Ahmed Alsaedi
Format: Article
Language:English
Published: Elsevier 2018-04-01
Series:Nuclear Engineering and Technology
Online Access:http://www.sciencedirect.com/science/article/pii/S1738573317303261
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spelling doaj-38064b040c364a59b0000042e7dd31ac2020-11-24T23:47:24ZengElsevierNuclear Engineering and Technology1738-57332018-04-01503389395A frame work for heat generation/absorption and modified homogeneous–heterogeneous reaction in flow based on non-Darcy–Forchheimer mediumTasawar Hayat0Salman Ahmad1Muhammad I. Khan2Muhammad I. Khan3Ahmed Alsaedi4Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University 21589, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, PakistanDepartment of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan; Corresponding author.Heriot Watt University, Edinburgh Campus, Edinburgh EH14 4AS, Faculty of Engineering, United Kingdom; Corresponding author.NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University 21589, Jeddah 21589, Saudi ArabiaThe present work aims to report the consequences of Darcy–Forchheimer medium in flow of Cross fluid model toward a stretched surface. Flow in porous space is categorized by Darcy–Forchheimer medium. Further heat transfer characteristics are examined via thermal radiation and heat generation/absorption. Transformation procedure is used. The arising system of nonlinear ordinary differential equations is solved numerically by means of shooting method. The effects of different flow variables on velocity, temperature, concentration, skin friction, and heat transfer rate are discussed. The obtained outcomes show that velocity was enhanced with the increase in the Weissenberg number but decays with increase in the porosity parameter and Hartman number. Temperature field is boosted by thermal radiation and heat generation; however, it decays with the increase in the Prandtl number. Keywords: Cross Fluid, Heat Generation/Absorption, Homogeneous–Heterogeneous Reactions, Non-Darcy–Forchheimer Medium, Thermal Radiationhttp://www.sciencedirect.com/science/article/pii/S1738573317303261
collection DOAJ
language English
format Article
sources DOAJ
author Tasawar Hayat
Salman Ahmad
Muhammad I. Khan
Muhammad I. Khan
Ahmed Alsaedi
spellingShingle Tasawar Hayat
Salman Ahmad
Muhammad I. Khan
Muhammad I. Khan
Ahmed Alsaedi
A frame work for heat generation/absorption and modified homogeneous–heterogeneous reaction in flow based on non-Darcy–Forchheimer medium
Nuclear Engineering and Technology
author_facet Tasawar Hayat
Salman Ahmad
Muhammad I. Khan
Muhammad I. Khan
Ahmed Alsaedi
author_sort Tasawar Hayat
title A frame work for heat generation/absorption and modified homogeneous–heterogeneous reaction in flow based on non-Darcy–Forchheimer medium
title_short A frame work for heat generation/absorption and modified homogeneous–heterogeneous reaction in flow based on non-Darcy–Forchheimer medium
title_full A frame work for heat generation/absorption and modified homogeneous–heterogeneous reaction in flow based on non-Darcy–Forchheimer medium
title_fullStr A frame work for heat generation/absorption and modified homogeneous–heterogeneous reaction in flow based on non-Darcy–Forchheimer medium
title_full_unstemmed A frame work for heat generation/absorption and modified homogeneous–heterogeneous reaction in flow based on non-Darcy–Forchheimer medium
title_sort frame work for heat generation/absorption and modified homogeneous–heterogeneous reaction in flow based on non-darcy–forchheimer medium
publisher Elsevier
series Nuclear Engineering and Technology
issn 1738-5733
publishDate 2018-04-01
description The present work aims to report the consequences of Darcy–Forchheimer medium in flow of Cross fluid model toward a stretched surface. Flow in porous space is categorized by Darcy–Forchheimer medium. Further heat transfer characteristics are examined via thermal radiation and heat generation/absorption. Transformation procedure is used. The arising system of nonlinear ordinary differential equations is solved numerically by means of shooting method. The effects of different flow variables on velocity, temperature, concentration, skin friction, and heat transfer rate are discussed. The obtained outcomes show that velocity was enhanced with the increase in the Weissenberg number but decays with increase in the porosity parameter and Hartman number. Temperature field is boosted by thermal radiation and heat generation; however, it decays with the increase in the Prandtl number. Keywords: Cross Fluid, Heat Generation/Absorption, Homogeneous–Heterogeneous Reactions, Non-Darcy–Forchheimer Medium, Thermal Radiation
url http://www.sciencedirect.com/science/article/pii/S1738573317303261
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