Thermal Instability in Reactive Viscous Plane Poiseuille/Couette Flows for Two Extreme Thermal Boundary Conditions

The problem of thermal stability of an exothermic reactive viscous fluid between two parallel walls in the plane Poiseuille and Couette flow configurations is investigated for different thermal boundary conditions. Neglecting reactant consumption, the closed-form solutions obtained from the momentu...

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Prif Awdur: Ajadi, Suraju Olusegun
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Cyhoeddwyd: 2014
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author Ajadi, Suraju Olusegun
author_facet Ajadi, Suraju Olusegun
author_sort Ajadi, Suraju Olusegun
collection DSpace
description The problem of thermal stability of an exothermic reactive viscous fluid between two parallel walls in the plane Poiseuille and Couette flow configurations is investigated for different thermal boundary conditions. Neglecting reactant consumption, the closed-form solutions obtained from the momentum equation was inserted into the energy equation due to dissipative effect of viscosity. The resulting energy equation was analyzed for critically using the variational method technique. The problem is characterized by two parameters: the Nusselt number (N) and the dynamic parameter. We observed that the thermal and dynamical boundary conditions of the wall have led to a significant departure from known results. The influence of the variable pre-exponential factor, due to the numerical exponent m, also give further insight into the behavior of the system and the results expressed graphically and in tabular forms.
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spelling oai:ir.oauife.edu.ng:123456789-34672023-05-13T11:11:06Z Thermal Instability in Reactive Viscous Plane Poiseuille/Couette Flows for Two Extreme Thermal Boundary Conditions Ajadi, Suraju Olusegun Thermal ignition Poiseuille flow Couette flow Variational method Viscous dissipation Pre-exponential factor The problem of thermal stability of an exothermic reactive viscous fluid between two parallel walls in the plane Poiseuille and Couette flow configurations is investigated for different thermal boundary conditions. Neglecting reactant consumption, the closed-form solutions obtained from the momentum equation was inserted into the energy equation due to dissipative effect of viscosity. The resulting energy equation was analyzed for critically using the variational method technique. The problem is characterized by two parameters: the Nusselt number (N) and the dynamic parameter. We observed that the thermal and dynamical boundary conditions of the wall have led to a significant departure from known results. The influence of the variable pre-exponential factor, due to the numerical exponent m, also give further insight into the behavior of the system and the results expressed graphically and in tabular forms. 2014-09-02T14:44:17Z 2018-10-29T11:11:12Z 2014-09-02T14:44:17Z 2018-10-29T11:11:12Z 2009 Article Ajadi, Suraju Olusegun (2009). Thermal Instability in Reactive Viscous Plane Poiseuille/Couette Flows for Two Extreme Thermal Boundary Conditions. J. Ksiam, 13(2): 73-86 http://localhost:8080/xmlui/handle/123456789/3467 en PDF application/pdf
spellingShingle Thermal ignition
Poiseuille flow
Couette flow
Variational method
Viscous dissipation
Pre-exponential factor
Ajadi, Suraju Olusegun
Thermal Instability in Reactive Viscous Plane Poiseuille/Couette Flows for Two Extreme Thermal Boundary Conditions
title Thermal Instability in Reactive Viscous Plane Poiseuille/Couette Flows for Two Extreme Thermal Boundary Conditions
title_full Thermal Instability in Reactive Viscous Plane Poiseuille/Couette Flows for Two Extreme Thermal Boundary Conditions
title_fullStr Thermal Instability in Reactive Viscous Plane Poiseuille/Couette Flows for Two Extreme Thermal Boundary Conditions
title_full_unstemmed Thermal Instability in Reactive Viscous Plane Poiseuille/Couette Flows for Two Extreme Thermal Boundary Conditions
title_short Thermal Instability in Reactive Viscous Plane Poiseuille/Couette Flows for Two Extreme Thermal Boundary Conditions
title_sort thermal instability in reactive viscous plane poiseuille couette flows for two extreme thermal boundary conditions
topic Thermal ignition
Poiseuille flow
Couette flow
Variational method
Viscous dissipation
Pre-exponential factor
url http://localhost:8080/xmlui/handle/123456789/3467
work_keys_str_mv AT ajadisurajuolusegun thermalinstabilityinreactiveviscousplanepoiseuillecouetteflowsfortwoextremethermalboundaryconditions