Abstract
This paper presents numerical simulation of the physical phenomena in heat pipe. The vapour dynamics of working fluid is considered in the numerical analysis of the heat pipe. A two-phase analysis is carried out for the heat pipe. The compressible flow equations for vapour-phase interaction with water particle phase are solved by a finite volume technique. A three stage Runge-Kutta time-stepping method is employed to solve vapour dynamics. Damping term is added to stablize the numerical scheme. An example is worked out to study the two phase flow in the heat pipe.
Zusammenfassung
Die Arbeit bezieht sich auf die numerische Simulation der physikalischen Phänomene in Wärmerohren, wobei insbesondere die Verdampfungsdynamik des Arbeitsmediums in einer Zweiphasen-Analyse untersucht wird. Mit Hilfe eines zeitabhängigen Differenzenverfahrens lassen sich die, die Wechselwirkung zwischen Dampfphase und Wasserpartikeln beschreibenden Gleichungen für den kompressiblen Fall lösen. Mittels eines dreistufigen Runge/Kutta-Verfahrens wird die Dampfdynamik analysiert, wobei durch Einführung eines Dämpfungsterms eine Stabilisierung des numerischen Verfahrens bewirkt wird. Ein praktisches Berechnungsbeispiel schließt die Untersuchung ab.
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Abbreviations
- C v :
-
specific heat at constant volume
- D 0 :
-
outer diameter of heat pipe
- D i :
-
inner diameter of heat pipe
- e :
-
total energy
- f :
-
friction coefficient
- h :
-
convective heat transfer coefficient
- h fg :
-
latent heat of vaporisation
- K :
-
thermal conductivity
- l c :
-
length of condenser
- p :
-
pressure
- q :
-
energy flux
- r :
-
vapour space radius
- Re :
-
Reynolds number
- T :
-
temperature
- U,F,H :
-
vectors in vapour formulation
- u :
-
vapour velocity
- x :
-
axial coordinate
- μ :
-
vapour viscosity
- ρ :
-
vapour density
- ω w :
-
shear stress
References
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Mehta, R.C., Jayachandran, T. Numerical analysis of transient two phase flow in heat pipe. Heat and Mass Transfer 31, 383–386 (1996). https://doi.org/10.1007/BF02172583
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DOI: https://doi.org/10.1007/BF02172583