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## Numerical Investigation of Semi-Empirical Relation Representing Standard Deviation in Nusselt Profile Due to Water Jet Impingement

Journal of Advanced Research in Fluid Mechanics and Thermal Sciences
Volume 65, No. 1, January 2020, Pages 42-53

Umair Siddique1,*, Emaad Ansari2, Sher Afghan Khan3, Rajesh Patil4
1 Department of Mechanical Engineering, Mukesh Patel School of Technology and Management, NMIMS University, Mumbai, India
2 Department of Mechanical Engineering, MHSSCOE, Mumbai University, Mumbai, India
3 Department of Mechanical Engineering, IIUM, Kuala Lumpur, Malaysia
4 Department of Mechanical Engineering, Mukesh Patel School of Technology and Management, NMIMS University, Mumbai, India
*Corresponding author: umair.siddique@nmims.edu

## KEYWORDS

Nusselt number; Reynolds number; nozzle-target spacing; standard deviation

## ABSTRACT

Use of water jets in material processing industries is finding pace. Water jets are used for cooling of materials due to its high convective heat transfer coefficient. Nusselt number is the parameter used for studying the heat transfer rate through water jet impingement. Simulations are performed and Nusselt magnitudes are plotted for Reynolds number 2000, 2200, 2400, 2600, 2800, 3000, 3200 and 3400 at constant non-dimensional nozzle target spacing (z/d) 4. Also, Nusselt distribution is obtained at z/d = 1, 2, 3, 4, 5, 6, 7 and 8 at constant Reynolds value of 750. The standard deviation (STDEV) of Nusselt magnitude is arranged according to constant C (C = Re/ (z/d)) for regression analysis. The semi-empirical relation representing standard deviation (STDEV) in terms of C is found out to be STDEV=14.751×?(C)?^0.917. Also, SST + Gamma-Theta turbulence model is found to predict accurate results.

MLA
Umair, Siddique, et al. “Numerical Investigation of Semi-Empirical Relation Representing Standard Deviation in Nusselt Profile Due to Water Jet Impingement.” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 65.1 (2020): 42-53.

APA
Umair, S., Emaad, A., Sher Afghan, K., & Rajesh, P.(2020). Numerical Investigation of Semi-Empirical Relation Representing Standard Deviation in Nusselt Profile Due to Water Jet Impingement. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 65(1), 42-53.

Chicago
Umair Siddique, Emaad Ansari, Sher Afghan Khan and Rajesh Patil. “Numerical Investigation of Semi-Empirical Relation Representing Standard Deviation in Nusselt Profile Due to Water Jet Impingement.” Journal of Advanced Research in Fluid Mechanics and Thermal Sciences. 65, no. 1 (2020): 42-53.

Harvard
Umair, S., Emaad, A., Sher Afghan, K., and Rajesh, P., 2020. Numerical Investigation of Semi-Empirical Relation Representing Standard Deviation in Nusselt Profile Due to Water Jet Impingement. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 65(1), pp. 42-53.

Vancouver
Umair S, Emaad A, Sher Afghan K, Rajesh P. Numerical Investigation of Semi-Empirical Relation Representing Standard Deviation in Nusselt Profile Due to Water Jet Impingement. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences. 2020;65(1): 42-53.

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