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On the fluid flow and heat transfer between a cone and a disk both stationary or rotating

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  • Turkyilmazoglu, Mustafa

Abstract

The present paper investigates the role that the radial component of heat conduction plays in a cone-plate viscometer. The cone and the disk may be taken as stationary or in action; both co-rotating or counter-rotating. Hydrodynamic and thermal fields are resolved by means of computationally simulating the resulting systems of equations. Upon working out the well-documented velocity field in the gap region from the similarity governing equations, the rates of heat transfer at both surfaces are calculated from an amended energy equation by further adding radial diffusive terms, which were missing in the previous data published in the literature. It is shown that addition of such physical streamwise heat conduction terms into the energy equation much influences the well-known results of heat transfer rates, particularly when the conical gap section is not small. The missing heat transfer rates pertaining to the cone wall are also presented here. In particular, it is demonstrated that the best cooling of cone-disk apparatus can be achieved for a rotating disk with a stationary cone, provided that the wall temperatures are kept as uniformly constant. The critical power index of passage from cooling to heating is determined to be 1.54492.

Suggested Citation

  • Turkyilmazoglu, Mustafa, 2020. "On the fluid flow and heat transfer between a cone and a disk both stationary or rotating," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 329-340.
    • Handle: RePEc:eee:matcom:v:177:y:2020:i:c:p:329-340
    DOI: 10.1016/j.matcom.2020.04.004
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    Cited by:

    1. Bhandari, Anupam, 2020. "Study of ferrofluid flow in a rotating system through mathematical modeling," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 178(C), pages 290-306.
    2. Yashodha, S. & Hakeem, A.K. Abdul & Ganga, B. & Renuka, P., 2024. "Heat transfer analysis of water-ethylene glycol (50:50) based nanofluid over a cone with the influences of magnetic field and uniform heat generation/absorption," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 222(C), pages 24-37.
    3. Pudhari Srilatha & Srinivas Remidi & Mulupuri Nagapavani & Harjot Singh & B. C. Prasannakumara, 2023. "Heat and Mass Transfer Analysis of a Fluid Flow across the Conical Gap of a Cone-Disk Apparatus under the Thermophoretic Particles Motion," Energies, MDPI, vol. 16(2), pages 1-12, January.

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