Time-Dependent Conjugate Heat Transfer Characteristics of Self-Sustained Oscillatory Flows in a Grooved Channel

1994 ◽  
Vol 116 (3) ◽  
pp. 499-507 ◽  
Author(s):  
J. S. Nigen ◽  
C. H. Amon
Keyword(s):  
Heat Transport ◽  
Convective Heat ◽  
Heat Generation ◽  
Time Dependent ◽  
Uniform Heat Flux ◽  
Local Skin ◽  
Local Skin Friction ◽  
Multiple Materials ◽  
Conjugate Conduction ◽  
Spatially Varying

Convective heat transport in a grooved channel is numerically investigated using a time-dependent formulation. Conjugate conduction/convection and uniform heat-flux representations for the solid domain are considered. For the conjugate representation, the solid domain is composed of multiple materials and concentrated heat generation. The associated cooling flows include laminar and transitional regimes. Steady and time-dependent contours of the streamfunction and local skin-friction coefficients are presented. Additionally, local distributions of Nusselt number and surface temperature are displayed for both the conjugate and convection-only representations. These results are contrasted over the range of Reynolds numbers explored to demonstrate the significance of including time-dependency and conjugation in the study of convective heat transport. Such considerations are found to be important in the design and analysis of heat exchanger configurations with spatially varying material composition and concentrated heat generation.

scholarly journals Effects of Slip and Heat Generation/Absorption on MHD Mixed Convection Flow of a Micropolar Fluid over a Heated Stretching Surface

2010 ◽  
Vol 2010 ◽  
pp. 1-20 ◽  
Author(s):  
Mostafa Mahmoud ◽  
Shimaa Waheed
Keyword(s):  
Nusselt Number ◽  
Friction Coefficient ◽  
Mixed Convection ◽  
Skin Friction ◽  
Heat Generation ◽  
Local Nusselt Number ◽  
Skin Friction Coefficient ◽  
Convection Flow ◽  
Local Skin ◽  
Local Skin Friction

A theoretical analysis is performed to study the flow and heat transfer characteristics of magnetohydrodynamic mixed convection flow of a micropolar fluid past a stretching surface with slip velocity at the surface and heat generation (absorption). The transformed equations solved numerically using the Chebyshev spectral method. Numerical results for the velocity, the angular velocity, and the temperature for various values of different parameters are illustrated graphically. Also, the effects of various parameters on the local skin-friction coefficient and the local Nusselt number are given in tabular form and discussed. The results show that the mixed convection parameter has the effect of enhancing both the velocity and the local Nusselt number and suppressing both the local skin-friction coefficient and the temperature. It is found that local skin-friction coefficient increases while the local Nusselt number decreases as the magnetic parameter increases. The results show also that increasing the heat generation parameter leads to a rise in both the velocity and the temperature and a fall in the local skin-friction coefficient and the local Nusselt number. Furthermore, it is shown that the local skin-friction coefficient and the local Nusselt number decrease when the slip parameter increases.

scholarly journals Oscillatory Free Convection about a Horizontal Circular Cylinder in the Presence of Heat Generation

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Najahulfazliah Zainuddin ◽  
Muhaimin Ismoen ◽  
Rozaini Roslan ◽  
Ishak Hashim
Keyword(s):  
Circular Cylinder ◽  
Free Convection ◽  
Newtonian Fluid ◽  
Heat Generation ◽  
Surrounding Medium ◽  
Surface Shear Stress ◽  
Surface Shear ◽  
Local Skin ◽  
Local Skin Friction ◽  
Horizontal Circular Cylinder

The oscillatory free convection about a horizontal circular cylinder in a Newtonian fluid in the presence of heat generation is investigated numerically by using the finite difference method. The surface temperature of the cylinder oscillates harmonically about the temperature of the surrounding medium. Heat is generated internally within the Newtonian fluid at a rate proportional to a power of the temperature difference. It is found that the presence of heat generation significantly increases the temperature and velocity distribution. The effects of the heat generation parameter and the Prandtl number on the surface rate of heat transfer, in terms of the local Nusselt number, and the surface shear stress, in terms of the local skin friction, are shown graphically from the stagnation point of the circular cylinder.

scholarly journals Effects MHD and Heat Generation on Mixed Convection Flow of Jeffrey Fluid in Microgravity Environment over an Inclined Stretching Sheet

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 438 ◽  
Author(s):  
Iskander Tlili
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Heat Generation ◽  
Stretching Sheet ◽  
Local Heat Transfer ◽  
Local Heat ◽  
Microgravity Environment ◽  
Jeffrey Fluid ◽  
Local Skin ◽  
Local Skin Friction

In this paper, Jeffrey fluid is studied in a microgravity environment. Unsteady two-dimensional incompressible and laminar g-Jitter mixed convective boundary layer flow over an inclined stretching sheet is examined. Heat generation and Magnetohydrodynamic MHD effects are also considered. The governing boundary layer equations together with boundary conditions are converted into a non-similar arrangement using appropriate similarity conversions. The transformed system of equations is resolved mathematically by employing an implicit finite difference pattern through quasi-linearization method. Numerical results of temperature, velocity, local heat transfer, and local skin friction coefficient are computed and plotted graphically. It is found that local skin friction and local heat transfer coefficients increased for increasing Deborah number when the magnitude of the gravity modulation is unity. Assessment with previously published results showed an excellent agreement.

scholarly journals Effect of Heat Generation and Thermal Radiation on the Slip Flow of Time Dependent Elastico-viscous Maxwell Nanofluid Flow Over a Porous Stretching Inclined Surface

2020 ◽  
Vol 68 (1) ◽  
pp. 19-28
Author(s):  
M Abdus Samad ◽  
M Enamul Karim
Keyword(s):  
Thermal Radiation ◽  
Heat Generation ◽  
Slip Flow ◽  
Numerical Results ◽  
Time Dependent ◽  
Physical Point ◽  
Local Skin ◽  
Maxwell Nanofluid ◽  
Linear Differential ◽  
Inclined Surface

The present paper deals with the numerical analysis of the combined effect of heat generation and thermal radiation on the flow of a time dependent elastico-viscous Maxwell nanofluid passing over a stretching porous inclined surface with slip boundary. Appropriate similarity transformations are used to decorate the governing equations into a set of ordinary non-linear differential equations. The coupled ordinary equations are solved numerically using the Nachtsheim-Swigert shooting method together with the Runge-Kutta iterative technique for various values of the flow control parameters. In addition, the built-in function bvp4c of MATLAB is used to enhance the consistency of numerical results. The numerical results, demonstrated graphically, are described from the physical point of view. Finally, the effects of relevant parameters on the local skin-friction coefficient, the local Nusselt number, and the local Sherwood number, which are of material concern, are demonstrated in tabular form. Dhaka Univ. J. Sci. 68(1): 19-28, 2020 (January)

scholarly journals JOULE HEATING EFFECT ON MHD FREE CONVECTIVE HEAT ABSORBING/GENERATING VISCOUS DISSIPATIVE NEWTONIAN FLUID WITH VARIABLE TEMPERATURE

2017 ◽  
Vol 5 (4RAST) ◽  
pp. 22-32
Author(s):  
A B Madhu Mohana Raju ◽  
Srinivasa G
Keyword(s):  
Convective Heat ◽  
Newtonian Fluid ◽  
Joule Heating ◽  
Variable Temperature ◽  
Physical Parameters ◽  
Heating Effect ◽  
Governing Equations ◽  
Local Skin ◽  
Joule Heating Effect ◽  
Local Skin Friction

In the present theoretical study we have examined Joule heating effect of MHD free convective heat absorbing/generating viscous dissipative Newtonian fluid with the consideration of variable temperature. The governing equations related to the problem are solved for velocity, temperature and concentration by using numerical finite difference scheme. The variations in velocity, temperature and concentration under the effects of several physical parameters are studied and represented with the use of graphs. Also we have recorded the numerical values for local skin friction, rate of heat transfer and rate of mass transfer and discussed their characteristics.

scholarly journals Impact of heat generation/absorption of magnetohydrodynamics Oldroyd-B fluid impinging on an inclined stretching sheet with radiation

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Fazle Mabood ◽  
Gabriella Bognár ◽  
Anum Shafiq
Keyword(s):  
Nusselt Number ◽  
Skin Friction ◽  
Heat Generation ◽  
Local Nusselt Number ◽  
Mhd Flow ◽  
Similarity Solutions ◽  
Deborah Number ◽  
Radiation Parameter ◽  
Local Skin ◽  
Local Skin Friction

Abstract In this paper, we have investigated thermally stratified MHD flow of an Oldroyd-B fluid over an inclined stretching surface in the presence of heat generation/absorption. Similarity solutions for the transformed governing equations are obtained. The reduced equations are solved numerically using the Runge–Kutta Fehlberg method with shooting technique. The influences of various involved parameters on velocity profiles, temperature profiles, local skin friction, and local Nusselt number are discussed. Numerical values of local skin friction and local Nusselt number are computed. The significant outcomes of the study are that the velocity decreases when the radiation parameter $$R_{d}$$ R d is increased while the temperature profile is increased for higher values of radiation parameter $$R_{d}$$ R d in case of opposing flow, moreover, growth in Deborah number $$\beta_{2}$$ β 2 enhance the velocity and momentum boundary layer. The heat transfer rate is decrease due to magnetic strength but increase with the increased values of Prandtl and Deborah numbers. The results of this model are closely matched with the outputs available in the literature.

scholarly journals A Multi-Domain Bivariate Approach for Mixed Convection in a Casson Nanofluid with Heat Generation

2018 ◽  
Vol 16 (9) ◽  
pp. 681-699
Author(s):  
Ibukun Sarah OYELAKIN ◽  
Sabyasachi MONDAL ◽  
Precious SIBANDA ◽  
Sandile Sydney MOTSA
Keyword(s):  
Mixed Convection ◽  
Heat Generation ◽  
Fluid Model ◽  
Linearization Method ◽  
Convection Flow ◽  
Transfer Coefficients ◽  
Local Skin ◽  
Casson Nanofluid ◽  
Method Of Solution ◽  
Local Skin Friction

We study the mixed convection flow of a Casson nanofluid past a permeable moving flat plate with heat generation, chemical reaction and viscous dissipation effects in the presence of thermo and thermal diffusion effects. The fluid model described assumes the nanoparticle flux at the boundary is zero, and suction effects on the velocity boundary are accounted for. The system of partial differential equations obtained is solved using a multi-domain bivariate quasi-linearization method with a detailed description of the numerical method of solution. The effects of various fluid parameters on the velocity, temperature, and nanoparticle concentration profiles, as well as on the local skin friction, and heat and mass transfer coefficients, are discussed in detail.

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