Influence radiation-convection heat transfer on temperature fields in crystals in a Czochralski method

Author(s):  
Berdnikovvs ◽  
K. A. Mitin ◽  
A. V. Mitina
2013 ◽  
Vol 135 (5) ◽  
Author(s):  
Yanhai Lin ◽  
Liancun Zheng ◽  
Xinxin Zhang

This paper presents an investigation for magnetohydrodynamics (MHD) thermocapillary Marangoni convection heat transfer of an electrically conducting power-law fluid driven by temperature gradient. The surface tension is assumed to vary linearly with temperature and the effects of power-law viscosity on temperature fields are taken into account by modified Fourier law for power-law fluids (proposed by Pop). The governing partial differential equations are converted into ordinary differential equations and numerical solutions are presented. The effects of the Hartmann number, the power-law index and the Marangoni number on the velocity and temperature fields are discussed and analyzed in detail.


1978 ◽  
Vol 100 (2) ◽  
pp. 358-362 ◽  
Author(s):  
J. L. S. Chen ◽  
T. N. Smith

The steady laminar forced convection heat transfer from nonisothermal thin needles in nonuniform incompressible flows is investigated analytically. Similarity temperature fields and heat transfer characteristics for needles with power-law thermal variations in (1) wall temperature, and (2) surface heat flux, are obtained. The influence of needle size and Prandtl number on the thermal behavior of the flow is examined for a uniform as well as an accelerating flow.


Author(s):  
Ahmed S. Suleiman ◽  
Nihad Dukhan

Open-cell metal foam is a class of modern porous media that possesses high thermal conductivity, large accessible surface area per unit volume and high porosities (often greater than 90%). The high porosity means very low weight. The internal structure of the foam is web-like. Internal flow inside the foam is complex and includes flow reversal, destruction of boundary layers and vigorous mixing. All of these attributes make metal foam a very attractive heat transfer core for many applications. The rather complex and intrinsically random architecture of the foam is virtually impossible to capture exactly. In this paper, we present a unit cell geometrical model that was used to represent the foam structure for numerical analysis purposes. In particular, the unit cell is used to numerically study forced convection heat transfer between aluminum foam and air. The Navier-Stokes and the governing energy equation are solved directly and the temperature fields are obtained using COMSOL. The details of the modeling process are given in this paper. The results are encouraging and lend confidence to the modeling approach, which paves the way for other investigations of the foam, as well as optimization work based on the structure of the foam.


2009 ◽  
Vol 13 (4) ◽  
pp. 213-220 ◽  
Author(s):  
Mehmet Arici ◽  
Birol Şahin

Natural convection heat transfer in a partially divided trapezoidal enclosure is studied numerically using the control volume method. Summer and winter conditions are separately examined by imposing regarding thermal boundary conditions. A horizontal divider included and its two different placements are considered. It is shown that heat transfer results are not significantly altered by the presence of the divider for summer condition. For winter condition, on the other hand, decrement in heat loss and effect on the flow and the temperature fields by the presence and the placement of the divider are observed, respectively. As a horizontal divider is placed to oppose buoyancy, the flow strength becomes weaker and formation of two separate levels of temperature uniformity occurs. As the divider is placed to assist buoyancy, the flow gets stronger and tends to form relatively uniform temperature field within whole enclosure.


1988 ◽  
Vol 110 (3) ◽  
pp. 596-603 ◽  
Author(s):  
K. C. Cheng ◽  
T. Obata ◽  
R. R. Gilpin

Convective instability and buoyancy effects on forced convection heat transfer in horizontal boundary layers heated from below by a constant temperature plate are studied experimentally for flow regimes with Rex = 2.5×104 ∼ 2.2×106 and Grx = 2×108 ∼ 1.5×1012. Heat transfer results obtained by heat flux gages and temperature measurements are studied using convective instability parameters, Grx/Rex1.5 for laminar flow and Grx/Rex2.7 for turbulent flow, with emphasis on flow in the transition regime. Buoyancy effects on heat transfer are also studied by comparison with predictions from the Pohlhausen solution and the von Ka´rma´n analogy. Convective instability data, velocity and temperature profiles, and flow visualization photographs (obtained by the hydrogen bubble method) and the wall temperature field (obtained by liquid crystal visualization) are presented. Flow visualization photographs reveal the spanwise periodic vortical motion, and the fluctuating velocity and temperature fields near the wall.


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