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Analysis of the Plasma Discharge Phenomena for Ceramic Metal Halide Lamps Using Finite Element Method L&E, Vol.31, No.4, 2023

Light & Engineering 31 (4)

Volume 31
Date of publication 08/10/2023
Pages 34–39

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Analysis of the Plasma Discharge Phenomena for Ceramic Metal Halide Lamps Using Finite Element Method L&E, Vol.31, No.4, 2023
Articles authors:
Pallavi Malik, Kalpna Sharma

Pallavi Malik, Ph. D. She has done her graduation and post-graduation from Punjab University and Central University of Rajasthan respectively in the domain of applied mathematics. She has published patents and papers in international journals of repute. She has actively worked in development of algorithm in detection of Covid 19 using AI. Her current research area includes conducting fluids for discharge lamps. Her research area includes conducting fluids and plasma discharge lamps

Kalpna Sharma, Ph. D. (Mathematics) University of Rajasthan, Jaipur, submitted in April, 2008 under the supervision of Prof. P.R. Sharma. Professor Manipal University Jaipur Department of Mathematics & Statistics, Presiding officer of Internal Complaint Committee, Life member of The Indian Mathematical Society L/2021/2 from 2021, Life member of Ramanujan Mathematical Society 432020 from 2020, Life member of National Society of Fluid Mechanics and Fluid Power LM779 from 2020, Life member of Calcutta Mathematical Society from 2018, Life member of Forum of Interdisciplinary Mathematics from 2018, Life member of Indian Society of Theoretical and Applied Mechanics L/1086 from 2017, Life member of International Academy of Physical Science N12193 from 2012, Life member of Rajasthan Ganita Parishad 02/200 from 2002

Abstract:
Metal halide (MH) lamps comes under the category of high intensity discharge (HID) lamps, which involves high intensity thermal plasma discharge phenomenon. In this paper we have considered ceramic MH lamps. The plasma discharge in MH lamps is different from other plasma discharge by the velocity of all the discharge obeys Maxwellian distribution, the excited energy states are occupied by Boltzmann distribution, and composition of the plasma can be derived from local chemical equilibrium. This paper explores the temperature distribution and the immediate effects towards the life of MH lamp.
The temperature profile for the MH lamp is numerically investigated using WELSIM 2.0, considering the lamp plasma model mathematical equations. Since electrode plays a significant role, influencing MH lamp life, it becomes imperative to understand the electrodes. In this context, the energy balance equation is taken into consideration. The equations are solved using finite element method. The necessary boundary condition for solution of the equation is the plasma boundary layer for the cathode heat conduction. The analysis provides the temperature distribution inside the lamp for different electrode geometry. The solutions to the equations have been pictorially investigated for the lamp starting phenomena and E/N ratio. For HID lamps in general, the improvements in HID technology are all linked to the performance of the arc tube, and within that tube, the chemical reaction, the pressure, and the temperature of the reaction. Another feature in the case of MH lamps that is worth mentioning in the determination of lamp life is the ratio between electric field to gas number density.
From the above, we can draw the following conclusion that the radiation transport mechanism of the HID lamps plays a pivotal role apart from other parameters influencing the lifetime of HID lamps. The paper envisages all these aspects using PDEs, the solutions of which provide an insightful understanding of the phenomena substantially.
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