2 edition of Free convection in a heat-generating fluid found in the catalog.
Free convection in a heat-generating fluid
Valeri V. Kostiouk
Bibliography: leaf 15.
|Statement||by Valeri V. Kostiouk.|
|Series||Preprint series. Applied mathematics, 1972: no. 5|
|LC Classifications||QC330 .K67|
|The Physical Object|
|Number of Pages||15|
|LC Control Number||74156039|
In particular, this refers to the cooling of elements of electronic equipment when the flows produced by heat sources placed at different places interact. It also determines the mode of medium motion along the heat transfer surface. Correction factors are introduced for inclined and horizontal surfaces. It is customary to use the term convection when referring to this cumulative transport and the term advection when referring to the transport due to bulk fluid motion. Natural convection will be more likely and more rapid with a greater variation in density between the two fluids, a larger acceleration due to gravity that drives the convection or a larger distance through the convecting medium. A specific feature of laminar FC on a vertical plate at a constant wall temperature Figure 1a is the fact that it allows a self-similar solution if a new variable is introduced into Eqs.
Turkish Journal of Physics. In the Boussinesq approximation for an incompressible fluid and a steady-state regime, the equations of momentum, mass and energy conservation for laminar FC in a plane boundary layer are as follows 1 The system of equations 1 allows the determination of the both velocity components u, v and of the temperature field T for various boundary conditions. However, the basic mechanisms of a turbulent flow are quite similar. A mean boundary layer temperature is taken to be the determining temperature. Khan and Pop [[ 23 ],[ 24 ]] studied boundary layer heat-mass transfer free convection flows also in porous media of a nanofluid past a stretched sheet.
As the moist air rises, it cools, causing some of the water vapor in the rising packet of air to condense. Series solutions of nonlinear partial differential equations with slip boundary conditions for non-Newtonian MHD flow in the porous space has been investigated by Zeeshan and Ellahi In a horizontal fluid layer between cold upper Tc1 and hot lower Th walls, the fluid flow has a cellular form with hexagonal cells Benard cells in the center of which fluid ascends from the hot surface to the cold one whereas in the periphery, it descends Figures 2cd. Further, Singh et al.
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An investigatation of MHD free convection and Mass transfer flow through a porous medium with heat source was undertaken . Nonlinear Analysis: Modelling and Control.
Journal of Advances in Mathematics and Computer Science. Metrics details Abstract The present study analyzed numerically magneto-hydrodynamics MHD laminar boundary layer flow past a wedge with the influence of thermal radiation, heat generation and chemical reaction.
Journal of Applied Sciences. Forced convection is typically used to increase the rate of heat exchange. In the first type, plumes rise from the lower mantle, Free convection in a heat-generating fluid book corresponding unstable regions of lithosphere drip back into the mantle.
Acknowledgements The author Ahmad K. For small inclination angles this effect is insignificant. This sets up two primary types of instabilities. Newton's law of cooling[ edit ] Main article: Newton's law of cooling Convection-cooling is sometimes loosely assumed to be described by Newton's law of cooling.
This has allowed plate tectonics on Earth to continue far longer than it would have if it were simply driven by heat left over from Earth's formation; or with heat produced from gravitational potential energyas a result of physical rearrangement of denser portions of the Earth's interior toward the center of the planet i.
Another case of this phenomenon is the event of super-coolingwhere the water is cooled to below freezing temperatures but does not immediately begin to freeze.
In recent years studies on nanofluid heat and mass transfer boundary layer laminar flow have attracted considerable attention.
Advances in Applied Science Research. Figures 7a and b illustrate the interaction of plumes Free convection in a heat-generating fluid book equal and different heat supplies and Figures 7c and d show the effect of vertical and curvilinear surfaces on a flow in a plane plume adjacement to them. The smallness of a boundary layer thickness as compared with characteristic dimensions of bodies allows one to introduce additional simplifications into the equations of motion and heat transfer.
Some problem parameters are substituted by their combinations, the so-called generalized variables. Also the steady two dimensional laminar heat transfer flow from a wedge was measured by Lin and Lin [[ 4 ]].
The flow configuration with the coordinate system used. Also the temperature decays Free convection in a heat-generating fluid book distance. The cooling is wind driven: wind moving over water cools the water and also causes evaporationleaving a saltier brine.
In the absence of an internal source, when the fluid is in contact with a hot surface, its molecules separate and scatter, causing the fluid to be less dense. Observations and discussions of the effects of various parameters on flow variables are done.
It is observed that asboth the ramped and isothermal skin friction coincide. Results for temperature and velocity profiles as well as Nusselt number and skin friction are presented graphically.
By virtue of the above, a modified Grashof number calculated from the heat flux on a wall, viz. The surface currents are initially dictated by surface wind conditions.
In Figure 8it is observed that for very small values of time, the velocity profiles are nearly flat, but assume parabolic shapes near the plate as t increases.Emphasizing the integration of mathematical expressions with clear physical associations, this challenging graduate-level textbook on convective heat and mass transfer reviews the laws of thermodynamics and fluid motions, behavior of laminar and turbulent flows in a variety of conditions, natural free convection in space, and flows through porous media.5/5(1).
The book contains nine chapters including laminar external and internal flows, convective heat transfer in laminar wake flows, natural convection in confined and no-confined laminar flows, turbulent internal flows, turbulent boundary layers, and free shear flows. From a theoretical analysis and results of previous studies, a model of the free convection of a heat-generating fluid in a hemispherical closed volume with a completely isothermal boundary is.Free convection in a vertical cylindrical pdf elements of fluid mechanics and heat transfer.
The book will be of use not only to researchers and practicing engineers as a review and.Jan 08, · The book starts with the elements of fluid mechanics and heat transfer, and covers a wide range of applications from fibrous insulation and catalytic reactors to geological strata, nuclear waste disposal, geothermal reservoirs, and the storage of heat-generating materials.5/5(3).Aug 24, · MHD free convection ebook and mass transfer of a heat generating fluid past an impulsively started ebook vertical porous plate with Hall current and radiation absorption was investigated .
Studies on MHD Stokes free convection flow past an infinite vertical porous plate subjected to constant heat flux with ion-slip current and radiation absorption was done .