Analytical Solution for Laminar Film Condensation along a Vertical Flat Plate Under Sinusoidal G-Jitter


Pradyumma Ghosh1,a, Abhishek C. Sarkar2 and S. S. Mondal1,b

1Mechanical Engineering Department, IT BHU, Varanasi 221 005, India.

aPradyumna_ghosh@rediffmail.com
bmondal_1976@yahoo.com

2Ph.D Scholar., Aerospace Engineering, NTU, Singapore.

sarkar_abhishek@yahoo.co.in

ABSTRACT

Transient phenomenon of laminar film condensation along a vertical flat plate under sinusoidal g-jitter has been analyzed, based on the same assumptions of Nusselt’s analysis of film condensation where the heat transfer within the liquid film is by pure conduction. The momentum equation retained the transient term and to take care of the surface tension force in the condensate film has also been included to the momentum equation. The perturbed acceleration due to gravity has been assumed to be a sinusoidal function of time and frequency of oscillation for the simplicity. The resultant equation has been solved analytically and the velocity profiles and mass flow rate under such g-jitter which has been simulated. Since the mass flow rate has been found to be a trigonometric function, we assumed a generic appropriate trigonometric function of sine and cosine has been used for the mass flow rate during simulation.

Keywords: Analytical-solution, Film condensation, Harmonics,Sinusoidal g-jitter, Surface tension.



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