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Prabhamani R Patil - One of the best experts on this subject based on the ideXlab platform.
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effect of a variable gravity field on convection in an anisotropic porous medium with Internal Heat Source and inclined temperature gradient
Journal of Heat Transfer-transactions of The Asme, 2002Co-Authors: Sherin M. Alex, Prabhamani R PatilAbstract:The convective instability of a horizontal fluid-saturated anisotropic porous layer, with Internal Heat Source and inclined temperature gradient, subject to a gravity field varying with distance in the layer, is investigated. A linear stability analysis is performed and the resulting eigenvalue problem solved using a Galerkin technique. In the absence of an inclined temperature gradient, an increase in the variable gravity parameter above -1 destabilizes the system. In its presence interesting developments occur. An increase in the Heat generation destabilizes the system when the variable gravity parameter is nonnegative. When it is negative the opposite effect is seen
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Variable gravity effects on thermal instability in a porous medium with Internal Heat Source and inclined temperature gradient
Fluid Dynamics Research, 2001Co-Authors: Sherin M. Alex, Prabhamani R Patil, K S VenkatakrishnanAbstract:The onset of convection in a horizontal fluid saturated isotropic porous layer, induced by inclined temperature gradient and Internal Heat Source, subject to a gravity field varying linearly with location along the gravitational acceleration direction, is investigated using Galerkin technique. The boundaries are assumed to be impermeable and perfectly conducting. It is seen that the value of the variable gravity parameter plays a decisive role on the onset of convection. When the variable gravity parameter is zero and positive, an increase in the Heat generation due to Internal Heat Source advances the onset of convection in both the presence and absence of inclined temperature gradient. On the other hand, when the variable gravity parameter is negative, the opposite effect is seen. Further, it is observed that at the onset of convection the favourable mode is always the stationary longitudinal mode.
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thermal instability in an anisotropic porous medium with Internal Heat Source and inclined temperature gradient
International Communications in Heat and Mass Transfer, 1997Co-Authors: C Parthiban, Prabhamani R PatilAbstract:Abstract Onset of convection in a fluid saturating a horizontal layer of an anisotropic porous medium with Internal Heat Source subjected to inclined temperature gradient is studied using Galerkin technique. The analysis reveals a number of interesting results.
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Effect of non-uniform boundary temperatures on thermal instability in a porous medium will] Internal Heat Source
International Communications in Heat and Mass Transfer, 1995Co-Authors: C Parthiban, Prabhamani R PatilAbstract:The effect of horizontal temperature gradients due to non-uniform Heating of the boundaries on the onset of convection in a fluid saturating a porous medium with uniformly distributed Internal Heat Sources is studied using Galerkin method. The results reveal that (i) convection sets in via stationary longitudinal modes, (ii) the presence of Internal Heat Sources promotes the onset of convection, its effect being more at higher horizontal gradients, (iii) stationary transverse modes are not possible in a system with Internal Heat Sources, (iv) transverse oscillatory modes are possible only for small magnitudes of the Internal Heat Source parameter η, (v) the critical Rayleigh number increases with horizontal gradients.
Praveen Ailawalia - One of the best experts on this subject based on the ideXlab platform.
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Internal Heat Source in a temperature dependent thermoelastic half space with microtemperatures
Applied and Computational Mechanics, 2018Co-Authors: Praveen Ailawalia, Sunil Kumar SachdevaAbstract:A two dimensional deformation due to Internal Heat Source in a thermoelastic solid with microtemperatures under the dependence of modulus of elasticity and thermal conductivity on reference temperature has been studied. A mechanical force of constant magnitude is applied at the free surface of thermoelastic half space. The normal modes technique has been applied to obtain the exact expressions for the components of normal displacement, microtemperature, normal force stress, temperature distribution, Heat flux moment tensor and tangential couple stress for thermoelastic solid with microtemperatures. The effect of Internal Heat Source, thermal conductivity and microrotation on the derived components have been derived analytically. The graphical results are shown in the presence and absence of thermal conductivity and microrotation to show the appreciable effect of rotation and temperature on the quantities. The problem may also be extended to show the effect of different types of mechanical and thermal Sources applied in the medium.
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Two-Dimensional Deformation in a Thermoelastic Solid with Microtemperatures Subjected to an Internal Heat Source
International Journal of Applied Mechanics and Engineering, 2018Co-Authors: Praveen Ailawalia, S. Budhiraja, J. SinghAbstract:Abstract The purpose of this paper is to study the two dimensional deformation in a generalized thermoelastic medium with microtemperatures having an Internal Heat Source subjected to a mechanical force. The force is acting along the interface of generalized thermoelastic half space and generalized thermoelastic half space with microtemperatures having an Internal Heat Source. The normal mode analysis has been applied to obtain the exact expressions for the considered variables. The effect of Internal Heat Source and microtemperatures on the above components has been depicted graphically.
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Internal Heat Source in a Thermoelastic Hydrostatically Initially Stressed Plate Immersed in a Liquid
Journal of Engineering Physics and Thermophysics, 2016Co-Authors: Praveen Ailawalia, Amit SinglaAbstract:An infinite homogeneous isotropic generalized thermoelastic hydrostatically initially stressed plate involving an Internal Heat Source and bordering on inviscid liquid half-spaces is considered. The normal mode analysis is used to obtain exact expressions for the displacement component, force stress, and temperature distributions. The numerical results are presented graphically for the Lord–Shulman theory of thermoelasticity when a mechanical force is applied to both of the plate sides. A comparison of the results in the presence and absence of a hydrostatic initial stress is made.
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Internal Heat Source in Thermoelastic Microelongated Solid Under Green Lindsay Theory
Journal of Theoretical and Applied Mechanics, 2016Co-Authors: Praveen Ailawalia, Sunil Kumar, Devinder PathaniaAbstract:Abstract The present study deals with two dimensional deformation, due to Internal Heat Source in a thermoelastic microelongated solid. A mechanical force is applied along the interface of elastic half space and thermoelastic microelongated half space. The problem is in the context of Green Lindsay (GL) theory. The analytic expressions for displacement component, normal force stress, temperature distribution and microelongation have been derived. The effect of Internal Heat Source and microelongation on the derived components have been depicted graphically.
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Plane Strain Deformation In A Thermoelastic Microelongated Solid With Internal Heat Source
International Journal of Applied Mechanics and Engineering, 2015Co-Authors: Praveen Ailawalia, Sunil Kumar Sachdeva, Devinder PathaniaAbstract:Abstract The purpose of this paper is to study the two dimensional deformation due to an Internal Heat Source in a thermoelastic microelongated solid. A mechanical force is applied along an overlaying elastic layer of thickness h. The normal mode analysis has been applied to obtain the exact expressions for the displacement component, force stress, temperature distribution and microelongation. The effect of the Internal Heat Source on the displacement component, force stress, temperature distribution and microelongation has been depicted graphically for Green-Lindsay (GL) theory of thermoelasticity.
Samia M. Said - One of the best experts on this subject based on the ideXlab platform.
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Effect of gravity, magnetic field and Internal Heat Source on a fiber-reinforced medium with two temperatures
Indian Journal of Physics, 2019Co-Authors: Samia M. Said, Mohamed I. A. OthmanAbstract:In the present paper, the Lord–Shulman theory with one relaxation time, Green–Lindsay theory with two relaxation times and the classical dynamical coupled theory as well as Green–Naghdi theory without energy dissipation are applied to study the total deformation of a magneto-thermoelastic fiber-reinforced medium under the gravitational. The normal mode analysis is used to obtain the exact expressions for the thermodynamic temperature, the conductive temperature, the force stresses and the displacements. Comparisons are made with the results in the four theories in the presence and absence of magnetic field, the gravity, as well as the Internal Heat Source. The effect of the gravity, magnetic field and the Internal Heat Source is observed on all the quantities.
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a fiber reinforced thermoelastic medium with an Internal Heat Source due to hydrostatic initial stress and gravity for the three phase lag model
Multidiscipline Modeling in Materials and Structures, 2017Co-Authors: Samia M. SaidAbstract:Purpose The purpose of this paper is to investigate the effect of a hydrostatic initial stress and the gravity field on a fiber-reinforced thermoelastic medium with an Internal Heat Source that is moving with a constant speed. Design/methodology/approach A general model of the equations of the formulation in the context of the three-phase-lag model and Green-Naghdi theory without energy dissipation. Findings The exact expressions for the displacement components, force stresses, and the thermal temperature for the thermal shock problem obtained by using normal mode analysis. Originality/value A comparison made between the results of the two models for different values of a hydrostatic initial stress as well as an Internal Heat Source. Comparisons also made with the results of the two models in the absence and presence of the gravity field as well as the reinforcement.
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effect of mechanical force rotation and moving Internal Heat Source on a two temperature fiber reinforced thermoelastic medium with two theories
Mechanics of Time-dependent Materials, 2017Co-Authors: Samia M. Said, Mohamed I. A. OthmanAbstract:In the present paper, the three-phase-lag model and Green–Naghdi theory without energy dissipation are used to study the effect of a mechanical force and a rotation on the wave propagation in a two-temperature fiber-reinforced thermoelastic problem for a medium with an Internal Heat Source that is moving with a constant speed. The methodology applied here is the use of the normal mode analysis to solve the problem of a thermal shock problem to obtain the exact expressions of the displacement components, force stresses, thermal temperature, and conductivity temperature. Numerical results for the considered variables are given and illustrated graphically in the absence and presence of a rotation as well as a mechanical force. A comparison is made with the results in the context of the two theories in the absence and presence of a moving Internal Heat Source.
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deformation of a rotating two temperature generalized magneto thermoelastic medium with Internal Heat Source due to hydrostatic initial stress
Meccanica, 2015Co-Authors: Samia M. SaidAbstract:The three-phase-lag model and Green–Naghdi theory without energy dissipation are employed to study the deformation of a two-temperature generalized-magneto thermoelastic medium with an Internal Heat Source that is moving with a constant speed under the hydrostatic initial stress and the rotation. Normal mode analysis is used to obtain the analytical expressions of the displacement components, force stress, thermal temperature and conductive temperature. The numerical results are given and presented graphically when mechanical force is applied. Comparisons are made with the results of the two models for two different values of the hydrostatic initial stress. Also, comparisons are made with results of the two models with and without the rotation as well as the two-temperature.
Devinder Pathania - One of the best experts on this subject based on the ideXlab platform.
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Internal Heat Source in Thermoelastic Microelongated Solid Under Green Lindsay Theory
Journal of Theoretical and Applied Mechanics, 2016Co-Authors: Praveen Ailawalia, Sunil Kumar, Devinder PathaniaAbstract:Abstract The present study deals with two dimensional deformation, due to Internal Heat Source in a thermoelastic microelongated solid. A mechanical force is applied along the interface of elastic half space and thermoelastic microelongated half space. The problem is in the context of Green Lindsay (GL) theory. The analytic expressions for displacement component, normal force stress, temperature distribution and microelongation have been derived. The effect of Internal Heat Source and microelongation on the derived components have been depicted graphically.
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Plane Strain Deformation In A Thermoelastic Microelongated Solid With Internal Heat Source
International Journal of Applied Mechanics and Engineering, 2015Co-Authors: Praveen Ailawalia, Sunil Kumar Sachdeva, Devinder PathaniaAbstract:Abstract The purpose of this paper is to study the two dimensional deformation due to an Internal Heat Source in a thermoelastic microelongated solid. A mechanical force is applied along an overlaying elastic layer of thickness h. The normal mode analysis has been applied to obtain the exact expressions for the displacement component, force stress, temperature distribution and microelongation. The effect of the Internal Heat Source on the displacement component, force stress, temperature distribution and microelongation has been depicted graphically for Green-Lindsay (GL) theory of thermoelasticity.
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Two dimensional deformation in microstretch thermoelastic half space with microtemperatures and Internal Heat Source
Cogent Mathematics, 2015Co-Authors: Praveen Ailawalia, Sunil Kumar Sachdeva, Devinder PathaniaAbstract:AbstractThe purpose of this paper is to study the two dimensional deformation due to Internal Heat Source in a microstretch thermoelastic solid with microtemperatures (MTSM). A mechanical force is applied along the interface of fluid half space and microstretch thermoelastic half space. The normal mode analysis has been applied to obtain the exact expressions for component of normal displacement, microtemperature, normal force stress, microstress tensor, Heat flux moment tensor, and couple stress for MTSM. The effect of Internal Heat Source, micropolarity, and microstretch on the above components has been depicted graphically.
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APPLIED & INTERDISCIPLINARY MATHEMATICS | RESEARCH ARTICLE Two dimensional deformation in microstretch thermoelastic half space with microtemperatures and Internal Heat Source
2015Co-Authors: Praveen Ailawalia, Sunil Kumar Sachdeva, Devinder PathaniaAbstract:4 Abstract: The purpose of this paper is to study the two dimensional deformation due to Internal Heat Source in a microstretch thermoelastic solid with microtem- peratures (MTSM). A mechanical force is applied along the interface of fluid half space and microstretch thermoelastic half space. The normal mode analysis has been applied to obtain the exact expressions for component of normal displace- ment, microtemperature, normal force stress, microstress tensor, Heat flux moment tensor, and couple stress for MTSM. The effect of Internal Heat Source, micropolarity, and microstretch on the above components has been depicted graphically.
Antony A. Hill - One of the best experts on this subject based on the ideXlab platform.
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Double-diffusive convection in an inclined porous layer with a concentration-based Internal Heat Source
Continuum Mechanics and Thermodynamics, 2017Co-Authors: Anjanna Matta, Antony A. HillAbstract:The thermosolutal instability of double-diffusive convection in an inclined fluid-saturated porous layer with a concentration-based Internal Heat Source is investigated. The linear instability of small-amplitude perturbations to the system is analyzed with respect to transverse and longitudinal rolls. The resultant eigenvalue problem is solved numerically utilizing the Chebyshev tau method. It is shown that an increasing inclination angle causes a strong stabilization in the transverse rolls irrespective of the Internal Heat Source or vertical solutal Rayleigh number. Furthermore, substantial qualitative changes are demonstrated in the linear instability thresholds with variations in the inclination angle and concentration-based Heat Source.
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Onset of Darcy-Brinkman convection with a uniform Internal Heat Source and vertical throughflow
International Journal of Thermal Sciences, 2017Co-Authors: N. Deepika, P. A. L. Narayana, Antony A. HillAbstract:The problem of thermal convection in a horizontal fluid saturated porous layer is examined, where the flow is governed by the Brinkman extension of Darcy's law. A uniform Internal Heat Source and vertical throughflow are also considered. The linear and nonlinear stability analyses are performed in order to determine the stability characteristics of the system. The linear and nonlinear thresholds give good agreement in the absence of vertical throughflow. However, it is shown that there are potential regions of sub-critical instabilities for increasing values of Internal Heat Source parameter Q, Peclet number Pe and Darcy number Da.
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Double-diffusive convection in a porous medium with a concentration based Internal Heat Source
Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences, 2005Co-Authors: Antony A. HillAbstract:Linear and nonlinear stability analyses of doublediffusive convection in a fluidsaturated porous layer with a concentration based Internal Heat Source are studied. Darcy's law and the Boussinesq ap...
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Conditional and unconditional nonlinear stability for convection induced by absorption of radiation in a porous medium
Continuum Mechanics and Thermodynamics, 2004Co-Authors: Antony A. HillAbstract:Convection induced by the selective absorption of radiation is investigated, for the case of an Internal Heat Source that is modelled quadratically with respect to concentration. The growth rate for the linearised system is shown to be real, and a linear instability analysis is performed. To establish conditional and unconditional nonlinear stability results, both the Darcy and Forchheimer models are employed to describe fluid flow. Due to the presence of significant regions of potential subcritical instabilities, the results indicate that linear theory may only be accurate enough to predict the onset of convective motion when the model for the Internal Heat Source is predominantly linear.
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Penetrative convection induced by the absorption of radiation with a nonlinear Internal Heat Source
Dynamics of Atmospheres and Oceans, 2004Co-Authors: Antony A. HillAbstract:A model for convection induced by the selective absorption of radiation in a fluid layer is investigated. The concentration based Internal Heat Source is modelled quadratically. A linear analysis and conditional nonlinear analysis are performed. Due to the presence of significantly large regions of potential subcritical instabilities, the results indicate that linear theory may only be accurate enough to predict the onset of convective motion when the model for the Internal Heat Source is predominantly linear. This lends much credence to the use of a linearly modelled Internal Heat Source as used by Krishnamurti [Dyn. Atmos. Oceans 27 (1997) 367], within the constraints of the parameter ranges.