Library Subscription: Guest
ICHMT DL Home Current Year Archives Executive Committee International Centre for Heat and Mass Transfer


DOI: 10.1615/ICHMT.2008.CHT.400
17 pages

Asghar Baradaran Rahimi
Faculty of Engineering, Ferdowsi University of Mashhad, P. O. Box No. 91775- 1111, Mashhad, Iran

Ali Jabbari Moghadam
Faculty of Engineering, Ferdowsi University of Mashhad, P. O. Box No. 91775- 1111, Mashhad, Iran

Mohammad Reza Samei
Faculty of Engineering, Ferdowsi University of Mashhad, P. O. Box No. 91775- 1111, Mashhad, Iran


Solution of steady-state motion and heat transfer of a viscous incompressible fluid contained between two concentric spheres maintained at different temperatures and rotating about a common axis with different constant angular velocities is considered. These solutions are obtained by choosing the appropriate similarity parameters. These similarity parameters change the system of partial differential governing equations into a system of ordinary differential equations along with appropriate boundary and initial conditions which can be solved numerically with a lot less complexities. Gravity has been neglected therefore forced convection is the heat transfer phenomenon. The ratio of Gr/Re2<<1, (Gr = Grashof number, Re =Reynolds number), which is the case for a big range of engine oils supports this simplification. It can be shown that the magnitude of the effect of the density variations on the rotational acceleration terms such as Coriolis and centrifugal is a function of the ratio of the gravitational acceleration to the rotational acceleration of the inner sphere. Therefore neglecting the gravitational acceleration in our study seems reasonable.
All the past solutions for the flow problem are direct numerical attempts which uses a lot of computational time. The resulting flow pattern, temperature distribution, and heat transfer characteristics are presented for the various cases. Same results as previous works are obtained for Navier-Stokes and energy equations but with less computational complexities.

ICHMT Digital Library

Bow shocks on a jet-like solid body shape. Thermal Sciences 2004, 2004. Pulsed, supersonic fuel jets - their characteristics and potential for improved diesel engine injection. PULSED, SUPERSONIC FUEL JETS - THEIR CHARACTERISTICS AND POTENTIAL FOR IMPROVED DIESEL ENGINE INJECTION
View of engine compartment components (left). Plots of temperature distributions in centreplane, forward of engine (right). CHT-04 - Advances in Computational Heat Transfer III, 2004. Devel... DEVELOPMENT AND CURRENT STATUS OF INDUSTRIAL THERMOFLUIDS CFD ANALYSIS
Pratt & Whitney's F-135 Joint Strike Fighter Engine under test in Florida is a 3600F class jet engine. TURBINE-09, 2009. Turbine airfoil leading edge stagnation aerodynamics and heat transfe... TURBINE AIRFOIL LEADING EDGE STAGNATION AERODYNAMICS AND HEAT TRANSFER - A REVIEW
Refractive index reconstructed field. (a) Second iteration. (b) Fourth iteration. Radiative Transfer - VI, 2010. Theoretical development for refractive index reconstruction from a radiative ... THEORETICAL DEVELOPMENT FOR REFRACTIVE INDEX RECONSTRUCTION FROM A RADIATIVE TRANSFER EQUATION-BASED ALGORITHM
Two inclusion test, four collimated sources. Radiative Transfer - VI, 2010. New developments in frequency domain optical tomography. Part II. Application with a L-BFGS associated to an inexa... NEW DEVELOPMENTS IN FREQUENCY DOMAIN OPTICAL TOMOGRAPHY. PART II. APPLICATION WITH A L-BFGS ASSOCIATED TO AN INEXACT LINE SEARCH