Numerical simulation of non-isothermal thin liquid film flow on inclined plane using an implicit finite difference scheme

Numerical simulation of non-isothermal thin liquid film flow on inclined plane using an implicit finite difference scheme

The classical problem of the stability and dynamics of thin liquid films on solid surfaces has been studied extensively. Particularly, thin liquid films subjected to various physico-chemical effects such as thermocapillarity, solutal-Marangoni and evaporative instabilities at the film surface has...

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Main Authors: Hamza, Mohammad Ameer, Jameel, Ahmad Tariq, Asrar, Waqar, Hoda, Asif
Format: Conference or Workshop Item
Language:English
English
Published: IOP Publishing 2017
Subjects:
TJ266 Turbines. Turbomachines (General)
TP155 Chemical engineering
Online Access:http://irep.iium.edu.my/56984/
http://irep.iium.edu.my/56984/
http://irep.iium.edu.my/56984/
http://irep.iium.edu.my/56984/7/56984.pdf
http://irep.iium.edu.my/56984/8/56984-Numerical%20simulation%20of%20non-isothermal%20thin%20liquid%20film%20flow%20on%20inclined%20plane%20using%20an%20implicit%20finite%20difference%20scheme_SCOPUS.pdf
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recordtype eprints
spelling iium-569842017-05-23T03:15:37Z http://irep.iium.edu.my/56984/ Numerical simulation of non-isothermal thin liquid film flow on inclined plane using an implicit finite difference scheme Hamza, Mohammad Ameer Jameel, Ahmad Tariq Asrar, Waqar Hoda, Asif TJ266 Turbines. Turbomachines (General) TP155 Chemical engineering The classical problem of the stability and dynamics of thin liquid films on solid surfaces has been studied extensively. Particularly, thin liquid films subjected to various physico-chemical effects such as thermocapillarity, solutal-Marangoni and evaporative instabilities at the film surface has been the focus of research for more than two decades. Various flow configurations of thin film such as thin film on plane, inclined, and wavy surfaces has been the subject of recent investigations. An inclined film compared to a horizontal film, also experiences the gravity force which may significantly influence the nonlinear dynamics of the film coupled with other forces. In this research, we attempt to study the stability and dynamics of thin liquid films subjected to thermocapillarity and evaporative instabilities at the free surface besides instability owing to ubiquitous van der Waals attraction, using numerical simulations. For a Newtonian liquid, flow in thin liquid film on a planar support and bounded by a passive gas, is represented by Navier-Stokes equation, equation of continuity and appropriate boundary conditions. The external effects are incorporated in the body force term of the Navier-Stokes equation. These governing equations are simplified using the so called long-wave approximation to arrive at a nonlinear partial differential equation, henceforth called equation of evolution (EOE), which describes the time evolution of the interfacial instability in the film caused by internal and/or external effects. Efficient numerical method is required for the solution of the equation of evolution (EOE) in order to comprehend the nonlinear dynamics of the thin film. Here we present the results of our numerical simulation using Crank-Nicholson implicit finite difference scheme applied to the thin film model incorporating instabilities owing to gravity, evaporation and thermo-capillarity. Comparison of our results with those obtained from Spectral method, show remarkable agreement for most of the cases investigated. IOP Publishing 2017-04-03 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/56984/7/56984.pdf application/pdf en http://irep.iium.edu.my/56984/8/56984-Numerical%20simulation%20of%20non-isothermal%20thin%20liquid%20film%20flow%20on%20inclined%20plane%20using%20an%20implicit%20finite%20difference%20scheme_SCOPUS.pdf Hamza, Mohammad Ameer and Jameel, Ahmad Tariq and Asrar, Waqar and Hoda, Asif (2017) Numerical simulation of non-isothermal thin liquid film flow on inclined plane using an implicit finite difference scheme. In: 3rd International Conference on Mechanical, Automotive and Aerospace Engineering 2016 (ICMAAE’16), 25th-27th July 2016, Kuala Lumpur, Malaysia. http://iopscience.iop.org/article/10.1088/1757-899X/184/1/012065/pdf 10.1088/1757-899X/184/1/012004
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
topic TJ266 Turbines. Turbomachines (General)
TP155 Chemical engineering
spellingShingle TJ266 Turbines. Turbomachines (General)
TP155 Chemical engineering
Hamza, Mohammad Ameer
Jameel, Ahmad Tariq
Asrar, Waqar
Hoda, Asif
Numerical simulation of non-isothermal thin liquid film flow on inclined plane using an implicit finite difference scheme
description The classical problem of the stability and dynamics of thin liquid films on solid surfaces has been studied extensively. Particularly, thin liquid films subjected to various physico-chemical effects such as thermocapillarity, solutal-Marangoni and evaporative instabilities at the film surface has been the focus of research for more than two decades. Various flow configurations of thin film such as thin film on plane, inclined, and wavy surfaces has been the subject of recent investigations. An inclined film compared to a horizontal film, also experiences the gravity force which may significantly influence the nonlinear dynamics of the film coupled with other forces. In this research, we attempt to study the stability and dynamics of thin liquid films subjected to thermocapillarity and evaporative instabilities at the free surface besides instability owing to ubiquitous van der Waals attraction, using numerical simulations. For a Newtonian liquid, flow in thin liquid film on a planar support and bounded by a passive gas, is represented by Navier-Stokes equation, equation of continuity and appropriate boundary conditions. The external effects are incorporated in the body force term of the Navier-Stokes equation. These governing equations are simplified using the so called long-wave approximation to arrive at a nonlinear partial differential equation, henceforth called equation of evolution (EOE), which describes the time evolution of the interfacial instability in the film caused by internal and/or external effects. Efficient numerical method is required for the solution of the equation of evolution (EOE) in order to comprehend the nonlinear dynamics of the thin film. Here we present the results of our numerical simulation using Crank-Nicholson implicit finite difference scheme applied to the thin film model incorporating instabilities owing to gravity, evaporation and thermo-capillarity. Comparison of our results with those obtained from Spectral method, show remarkable agreement for most of the cases investigated.
format Conference or Workshop Item
author Hamza, Mohammad Ameer
Jameel, Ahmad Tariq
Asrar, Waqar
Hoda, Asif
author_facet Hamza, Mohammad Ameer
Jameel, Ahmad Tariq
Asrar, Waqar
Hoda, Asif
author_sort Hamza, Mohammad Ameer
title Numerical simulation of non-isothermal thin liquid film flow on inclined plane using an implicit finite difference scheme
title_short Numerical simulation of non-isothermal thin liquid film flow on inclined plane using an implicit finite difference scheme
title_full Numerical simulation of non-isothermal thin liquid film flow on inclined plane using an implicit finite difference scheme
title_fullStr Numerical simulation of non-isothermal thin liquid film flow on inclined plane using an implicit finite difference scheme
title_full_unstemmed Numerical simulation of non-isothermal thin liquid film flow on inclined plane using an implicit finite difference scheme
title_sort numerical simulation of non-isothermal thin liquid film flow on inclined plane using an implicit finite difference scheme
publisher IOP Publishing
publishDate 2017
url http://irep.iium.edu.my/56984/
http://irep.iium.edu.my/56984/
http://irep.iium.edu.my/56984/
http://irep.iium.edu.my/56984/7/56984.pdf
http://irep.iium.edu.my/56984/8/56984-Numerical%20simulation%20of%20non-isothermal%20thin%20liquid%20film%20flow%20on%20inclined%20plane%20using%20an%20implicit%20finite%20difference%20scheme_SCOPUS.pdf
first_indexed 2023-09-18T21:20:29Z
last_indexed 2023-09-18T21:20:29Z
_version_ 1777411848428060672

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