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Investigation and Analysis of the Diffusion Equation in Ceramic Metal Halide Lamps L&E, Vol.32, No.3, 2024

Light & Engineering 32 (3) 2024

Volume 32
Date of publication 06/13/2024
Pages 71–76

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Investigation and Analysis of the Diffusion Equation in Ceramic Metal Halide Lamps L&E, Vol.32, No.3, 2024
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:
Ceramic metal halide lamps (CMH) are a type of high-intensity discharge lamp that are used for a variety of applications, including street lighting, stadium lighting, and horticulture. In this study, we investigate the thermal behaviour of CMH lamps by solving the diffusion equation. The diffusion equation is a partial differential equation that describes the diffusion of heat through a material. By solving this equation, obtain the temperature distribution within the CMH lamp has been obtained. In this study, the finite element method has been used in MATLAB to solve the diffusion equation for a typical CMH lamp. The simulation considers the lamp’s geometry, material properties, and operating conditions. The simulation provides a temperature profile plot of the CMH lamp, which allows us to analyse the heat transfer and thermal distribution within the lamp. The results show that the temperature profile of the CMH lamp is strongly influenced by the lamp’s geometry and operating conditions. The highest temperatures are found at the centre of the arc tube, while the temperatures at the ends of the tube are lower. The temperature distribution within the CMH lamp is non-uniform, which can have implications for the lamp’s performance and lifespan. The study provides important insights into the thermal behaviour of CMH lamps and can be useful for optimizing their design and performance. By understanding the temperature distribution within the lamp, the potential areas of improvement are identified, and new parameters, such as knee point, are opined to enhance the lamp’s efficiency and lifespan.
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