Statistical Modeling of Heat Transfer and Fluid Dynamics: Application in Mechanical Engineering Design

Year : 2024 | Volume : 13 | Issue : 02 | Page : 18 22
    By

    Nidhi Gupta,

  • Rohit Singh Lather,

  • Deepak Kumar Bhalla,

  1. Associate Professor, Department of Mechanical Engineering, Lingaya’s Vidyapeeth, Faridabad, Haryana, India
  2. Director, Mechanical Engineering, Lingaya’s Vidyapeeth, Faridabad, Haryana, India
  3. Director, Department of Multidisciplinary Engineering, The NorthCap University, Gurugram, India

Abstract

Understanding and optimizing the intricate processes involved in heat transfer and fluid dynamics—two concepts essential to mechanical engineering design—require statistical modeling. Engineers can forecast, regulate, and enhance the performance of systems including heat exchangers, turbines, cooling mechanisms, and different fluid machinery by using statistical approaches. In order to address uncertainties, variability in material properties, boundary conditions, and operational parameters, this work investigates the integration of statistical modeling tools in the analysis of heat transfer and fluid flow. After reviewing the state-of-the-art techniques, including Design of Experiments (DOE), Monte Carlo simulations, and regression analysis, We show how heat transfer rates may be modeled and optimized, fluid flow behavior can be predicted, and mechanical design parameters can be optimized for increased dependability and efficiency using statistical methods. Furthermore, this study sheds light on the difficulties in integrating statistical models with finite element analysis (FEA) and computational fluid dynamics (CFD) in order to provide more precise and reliable engineering designs. The practical applications of thermal management and fluid system optimization case studies highlight the importance of these techniques in improving mechanical engineering design for a range of industrial applications.

Keywords: Heat transfer, fluid dynamics, statistical modeling, mechanical engineering design, Monte Carlo simulations, computational fluid dynamics, finite element analysis

[This article belongs to Research & Reviews : Journal of Statistics ]

How to cite this article:
Nidhi Gupta, Rohit Singh Lather, Deepak Kumar Bhalla. Statistical Modeling of Heat Transfer and Fluid Dynamics: Application in Mechanical Engineering Design. Research & Reviews : Journal of Statistics. 2025; 13(02):18-22.
How to cite this URL:
Nidhi Gupta, Rohit Singh Lather, Deepak Kumar Bhalla. Statistical Modeling of Heat Transfer and Fluid Dynamics: Application in Mechanical Engineering Design. Research & Reviews : Journal of Statistics. 2025; 13(02):18-22. Available from: https://journals.stmjournals.com/rrjost/article=2025/view=203191


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Regular Issue Subscription Review Article
Volume 13
Issue 02
Received 09/09/2024
Accepted 16/01/2025
Published 20/01/2025
Publication Time 133 Days
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