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In the present paper, the thermal relaxation time of a mixture surrounding a growing vapour bubbles between two-phase temperatures under the effect of heating sink is investigated. The mathematical model obtained by Mohammadein [6] is extended and solved analytically by using similarity parameters method; which used by Mohammadein [5] between two finite boundaries. Under the initial and final boundaries of growing vapour bubbles, thermal relaxation time is derived in terms of void fraction and affected by initial superheating and thermal diffusivity. Thermal relaxation time under the effect of heating sink performs a lower values than the previous pressure and thermal relaxation times obtained by authors [4,5]. Thermal relaxation time performs a good agreement with Moby Dick experiment [2].

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