Free convection from a disk rotating in a vertical plane

1983 ◽  
Vol 126 ◽  
pp. 307-313 ◽  
Author(s):  
S. S. Chawla ◽  
A. R. Verma
Keyword(s):  
Convective Flow ◽  
Energy Equation ◽  
Viscous Incompressible Fluid ◽  
Fluid Motion ◽  
Axisymmetric Flow ◽  
Vertical Plane ◽  
Cross Flow ◽  
Accurate Solution ◽  
Free Convective Flow ◽  
Heated Disk

An exact solution of the free convective flow of a viscous incompressible fluid from a heated disk, rotating in a vertical plane, is obtained. The non-axisymmetric fluid motion consists of two parts; the primary von Kármán axisymmetric flow and the secondary buoyancy-induced cross-flow. A highly accurate solution of the energy equation is also derived for its subsequent use in the analysis of the cross-flow.

scholarly journals Ion slip effect on unsteady Hartmann flow with heat transfer under exponential decaying pressure gradient

2006 ◽  
Vol 2006 ◽  
pp. 1-12
Author(s):  
Hazem A. Attia
Keyword(s):  
Heat Transfer ◽  
Pressure Gradient ◽  
Energy Equation ◽  
Viscous Incompressible Fluid ◽  
Fluid Motion ◽  
Electrically Conducting ◽  
Uniform Suction ◽  
Temperature Distributions ◽  
Ion Slip ◽  
External Uniform Magnetic Field

The unsteady Hartmann flow of an electrically conducting, viscous, incompressible fluid bounded by two parallel nonconducting porous plates is studied with heat transfer taking the ion slip into consideration. An external uniform magnetic field and a uniform suction and injection are applied perpendicular to the plates, while the fluid motion is subjected to an exponential decaying pressure gradient. The two plates are kept at different but constant temperatures while the Joule and viscous dissipations are included in the energy equation. The effect of the ion slip and the uniform suction and injection on both the velocity and temperature distributions is examined.

Free Convective Flow Patterns in Cylindrical Annuli

1969 ◽  
Vol 91 (3) ◽  
pp. 310-314 ◽  
Author(s):  
R. E. Powe ◽  
C. T. Carley ◽  
E. H. Bishop
Keyword(s):  
Unsteady Flow ◽  
Convective Flow ◽  
Cross Flow ◽  
Flow Patterns ◽  
Operating Conditions ◽  
Experimental Investigations ◽  
Free Convective Flow ◽  
Concentric Cylinders ◽  
Wide Range ◽  
Written Descriptions

The results of all available experimental investigations into the characteristics of free convective flow of air between horizontal isothermal concentric cylinders are reviewed and several discrepancies are pointed out. An experimental study is described which was directed at resolving these discrepancies and categorizing the several flow patterns which have been observed. Using six different cylinder sets and varying both the annulus pressure and temperature difference between the cylinder surfaces, a range of Grashof numbers (based on annulus width) from 300 to 3.4 × 106 was achieved. The resulting air flow patterns were made visible with the use of tobacco smoke and are documented by written descriptions, photographs, motion pictures, and quantitative data. One steady and three unsteady flow patterns were observed and comparison with the results of other investigators is presented. A chart is presented which allows prediction of the type of unsteady flow that will occur for a wide range of cylinder combinations and annulus operating conditions. A comparison with cylinders in forced cross-flow is used to satisfactorily predict the onset of one of the unsteady flow patterns. Also, the flow patterns observed experimentally are compared to those predicted by an available analytical solution.

Dynamics of laminar free-convective flow of a newtonian fluid between vertical plane isothermal walls

2009 ◽  
Vol 82 (6) ◽  
pp. 1163-1170
Author(s):  
V. I. Ryazhskikh ◽  
M. I. Slyusarev ◽  
A. A. Boger ◽  
S. V. Ryabov
Keyword(s):  
Newtonian Fluid ◽  
Convective Flow ◽  
Vertical Plane ◽  
Free Convective Flow

Article

1998 ◽  
Vol 76 (9) ◽  
pp. 739-746
Author(s):  
H A Attia
Keyword(s):  
Energy Equation ◽  
Constant Pressure ◽  
Viscous Incompressible Fluid ◽  
Equations Of Motion ◽  
Fluid Motion ◽  
Governing Equations ◽  
Electrically Conducting ◽  
Flow And Heat Transfer ◽  
Temperature Distributions ◽  
External Uniform Magnetic Field

The unsteady flow and heat transfer of an electrically conducting, viscous, incompressible fluid bounded by two parallel nonconducting porous plates are studied taking the Hall effect into consideration. An external uniform magnetic field is applied normal to the plates, and the fluid motion is subjected to a constant pressure gradient and a uniform suction and injection. An analytical solution for the governing equations of motion is obtained and a numerical solution for the energy equation including the Joule and the viscous dissipation terms is developed. The effect of the Hall term on both the velocity and temperature distributions is examined.PACS No.: 47.70

Transient Free Convective Flow of CNT Water Nanofluid with Heat Transfer from a Moving Cylinder

2020 ◽  
Vol 10 ◽  
Author(s):  
C. Sridevi ◽  
A. Sailakumari
Keyword(s):  
Carbon Nanotubes ◽  
Heat Generation ◽  
Convective Flow ◽  
Volume Fraction ◽  
Vertical Cylinder ◽  
Single Wall Carbon Nanotubes ◽  
Free Convective Flow ◽  
Multi Wall Carbon Nanotubes ◽  
Moving Cylinder ◽  
Variable Surface

Background: In this paper, transient two-dimensional laminar boundary layer viscous incompressible free convective flow of water based nanofluid with carbon nanotubes (CNTs) past a moving vertical cylinder with variable surface temperature is studied numerically in the presence of thermal radiation and heat generation. Methods: The prevailing partial differential equations which model the flow with initial and boundary conditions are solved by implicit finite difference method of Crank Nicolson type which is unconditionally stable and convergent. Results: Influence of Grashof number (Gr), nanoparticle volume fraction ( ), heat generation parameter (Q), temperature exponent (m), radiation parameter (N) and time (t) on velocity and temperature profiles are sketched graphically and elaborated comprehensively. Conclusion: Analysis of Nusselt number and Skin friction coefficient are also discussed numerically for both single wall carbon nanotubes (SWCNTs) and multi wall carbon nanotubes (MWCNTs).

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