Effectiveness of improved Fourier-Fick laws in a stratified non-Newtonian fluid with variable fluid characteristics

Muhammad Waqas; Saira Naz; Tasawar Hayat; Sabir Ali Shehzad; Ahmed Alsaedi

doi:10.1108/HFF-12-2018-0716

Effectiveness of improved Fourier-Fick laws in a stratified non-Newtonian fluid with variable fluid characteristics

Muhammad Waqas
, Saira Naz
, Tasawar Hayat
, Sabir Ali Shehzad
, Ahmed Alsaedi

National University of Technology
Quaid-I-Azam University
Faculty of Sciences, King Abdulaziz University
COMSATS University Islamabad
King Abdulaziz University

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

Purpose: The purpose of this paper is to introduce the concept of improved Fourier–Fick laws subjected to variable fluid characteristics. Flow analysis in the stagnation region of Oldroyd-B fluid is elaborated. Heat generation is present. Design/methodology/approach: Optimal homotopy analysis method is used to obtain convergent solutions. Findings: The outcomes reveal reduction in penetration depths of temperature and concentration due to involvement of thermal and solutal relaxation times of fluxes. Originality/value: As per the authors’ knowledge, such analysis has not yet been reported.

Original language	English
Pages (from-to)	2128-2145
Number of pages	18
Journal	International Journal of Numerical Methods for Heat and Fluid Flow
Volume	29
Issue number	6
DOIs	https://doi.org/10.1108/HFF-12-2018-0716
State	Published - 11 Jun 2019
Externally published	Yes

Keywords

Concentration dependent diffusivity
Heat generation
Non-Fourier and Fick double diffusion
Oldroyd-B liquid
Stratified flow
Temperature dependent conductivity

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10.1108/HFF-12-2018-0716

Cite this

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title = "Effectiveness of improved Fourier-Fick laws in a stratified non-Newtonian fluid with variable fluid characteristics",

abstract = "Purpose: The purpose of this paper is to introduce the concept of improved Fourier–Fick laws subjected to variable fluid characteristics. Flow analysis in the stagnation region of Oldroyd-B fluid is elaborated. Heat generation is present. Design/methodology/approach: Optimal homotopy analysis method is used to obtain convergent solutions. Findings: The outcomes reveal reduction in penetration depths of temperature and concentration due to involvement of thermal and solutal relaxation times of fluxes. Originality/value: As per the authors{\textquoteright} knowledge, such analysis has not yet been reported.",

keywords = "Concentration dependent diffusivity, Heat generation, Non-Fourier and Fick double diffusion, Oldroyd-B liquid, Stratified flow, Temperature dependent conductivity",

author = "Muhammad Waqas and Saira Naz and Tasawar Hayat and Shehzad, \{Sabir Ali\} and Ahmed Alsaedi",

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language = "English",

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AU - Waqas, Muhammad

AU - Naz, Saira

AU - Hayat, Tasawar

AU - Shehzad, Sabir Ali

AU - Alsaedi, Ahmed

PY - 2019/6/11

Y1 - 2019/6/11

N2 - Purpose: The purpose of this paper is to introduce the concept of improved Fourier–Fick laws subjected to variable fluid characteristics. Flow analysis in the stagnation region of Oldroyd-B fluid is elaborated. Heat generation is present. Design/methodology/approach: Optimal homotopy analysis method is used to obtain convergent solutions. Findings: The outcomes reveal reduction in penetration depths of temperature and concentration due to involvement of thermal and solutal relaxation times of fluxes. Originality/value: As per the authors’ knowledge, such analysis has not yet been reported.

AB - Purpose: The purpose of this paper is to introduce the concept of improved Fourier–Fick laws subjected to variable fluid characteristics. Flow analysis in the stagnation region of Oldroyd-B fluid is elaborated. Heat generation is present. Design/methodology/approach: Optimal homotopy analysis method is used to obtain convergent solutions. Findings: The outcomes reveal reduction in penetration depths of temperature and concentration due to involvement of thermal and solutal relaxation times of fluxes. Originality/value: As per the authors’ knowledge, such analysis has not yet been reported.

KW - Concentration dependent diffusivity

KW - Heat generation

KW - Non-Fourier and Fick double diffusion

KW - Oldroyd-B liquid

KW - Stratified flow

KW - Temperature dependent conductivity

UR - https://www.scopus.com/pages/publications/85067049742

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JO - International Journal of Numerical Methods for Heat and Fluid Flow

JF - International Journal of Numerical Methods for Heat and Fluid Flow

IS - 6

ER -

Effectiveness of improved Fourier-Fick laws in a stratified non-Newtonian fluid with variable fluid characteristics

Abstract

Keywords

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