Analytical Modeling of Heat Transfer Coefficient Analysis in Dimensionless Number of an Electric Parking Brake Using CFD

Document Type : Original Article

Authors

1 Research Scholar of Mechanical Engineering, Veermata Jijabai Technological Institute, Matunga (E), Mumbai, India

2 Faculty of Mechanical Engineering, Veermata Jijabai Technological Institute, Matunga (E), Mumbai, India

Abstract

The present study intends the development of an electric parking brake (EPB) for commercial vehicles (CVs). CVs with EPB applications are currently available in an entirely different set of issues than EPB applications on passenger cars, which are presently widely used. Safe parking requires much more focus with an order of magnitude, more thermal capacity, brake mass, and clamp pressures. In the first instance, heat loss from the brake disc was estimated. The investigations also allowed for precise prediction of radiative heat loss by defining surface emissivity. The parameters of air movement, convective heat transfer coefficients, and velocities were investigated, and validation was done with the CFD model. When the temperature dropped to 252 °C, the maximum estimated value of the Nusselt number was 72.25. Nusselt number pattern that looks identical over the arc surface yields 13.38 percent better results. Nu values at maximum temperature were calculated to be 80.5  and 82.6  at 251.8 °C. The “hconv” value was 4.1 percent lower than in the arc region, with the highest value at 400°C being 11.5 W/m2K. The present study adopted unique approach and obtained brake disc temperature and the coefficient of convective heat transfer on disc friction surfaces and hat regions. CFD modeling was done during the cooling phase to evaluate flow patterns and “hconv” fluctuation across the entire disc brake surface area. The mathematical modeling and adopted methodology for computing heat transfer coefficients for different disc regions have helped to better understand of a CV brake disc heat dissipation.

Keywords

Main Subjects


  1. Slosarczyk, K., Linden, J., Burnham, K., Cockings, K. and Capolongo, R., "Implementation of an electronic park brake feature with limited data availability", in 2008 19th International Conference on Systems Engineering, IEEE., (2008), 254-259.
  2. Peng, Y.-q. and Li, W., "Research on fuzzy control strategies for automotive epb system with amesim/simulink co-simulation", in 2009 Chinese Control and Decision Conference, IEEE., (2009), 1707-1712.
  3. Lee, C., Chung, H., Lee, Y., Chung, C., Son, Y. and Yoon, P., "Fault detection method for electric parking brake (epb) systems with sensorless estimation using current ripples", International Journal of Automotive Technology, Vol. 11, No. 3, (2010), 387-394.
  4. Galindo-Lopez, C. and Tirovic, M., "Understanding and improving the convective cooling of brake discs with radial vanes", Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, Vol. 222, No. 7, (2008), 1211-1229.
  5. Voller, G., Tirovic, M., Morris, R. and Gibbens, P., "Analysis of automotive disc brake cooling characteristics", Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, Vol. 217, No. 8, (2003), 657-666.
  6. McPhee, A.D. and Johnson, D.A., "Experimental heat transfer and flow analysis of a vented brake rotor", International Journal of Thermal Sciences, Vol. 47, No. 4, (2008), 458-467.
  7. Liang, L., Jian, S. and Xuele, Q., Study on vehicle braking transient thermal field based on fast finite element method simulation. 2005, SAE Technical Paper.
  8. Bagnoli, F., Dolce, F. and Bernabei, M., "Thermal fatigue cracks of fire fighting vehicles gray iron brake discs", Engineering Failure Analysis, Vol. 16, No. 1, (2009), 152-163.
  9. Tirovic, M. and Voller, G., "Interface pressure distributions and thermal contact resistance of a bolted joint", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 461, No. 2060, (2005), 2339-2354. doi.
  10. McAdams, W., "Heat transfer", McGraw-Hill, New York, Vol. 1, No. 51, (1954), 3.
  11. Morgan, V.T., The overall convective heat transfer from smooth circular cylinders, in Advances in heat transfer. 1975, Elsevier.199-264.
  12. Churchill, S.W. and Chu, H.H., "Correlating equations for laminar and turbulent free convection from a horizontal cylinder", International journal of heat and mass transfer, Vol. 18, No. 9, (1975), 1049-1053.
  13. Ozisik, M.N., "Heat transfer: A basic approach, McGraw-Hill New York, Vol. 780,  (1985).
  14. Richardson, P. and Saunders, O., "Studies of flow and heat transfer associated with a rotating disc", Journal of Mechanical Engineering Science, Vol. 5, No. 4, (1963), 336-342.
  15. Fletcher, L., "Recent developments in contact conductance heat transfer", (1988).
  16. Bergman, T.L., Lavine, A.S., Incropera, F.P. and DeWitt, D.P., "Introduction to heat transfer, John Wiley & Sons, (2011).
  17. Moffat, R.J., "Describing the uncertainties in experimental results", Experimental Thermal and Fluid Science, Vol. 1, No. 1, (1988), 3-17.
  18. Moffat, R.J., "Using uncertainty analysis in the planning of an experiment", (1985).
  19. Nakos, J.T., Uncertainty analysis of thermocouple measurements used in normal and abnormal thermal environment experiments at sandia's radiant heat facility and lurance canyon burn site. 2004, Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA 
  20. Taylor, J., "Introduction to error analysis, the study of uncertainties in physical measurements, (1997).
  21. Taylor, J.R., University science books. 1982, Mill Valley California.
  22. Stevens, K. and Tirovic, M., "Heat dissipation from a stationary brake disc, part 1: Analytical modelling and experimental investigations", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 232, No. 9, (2018), 1707-1733.
  23. Stevens, K., Leiter, R. and Taylor, M., "Thermal aspects in electronic parking braking of commercial vehicles", in European conference on braking., (2010).
  24. Noroozi, M.J., "Investigation of the effects of non-linear and non-homogeneous non-fourier heat conduction equations on temperature distribution in a semi-infinite body", International Journal of Engineering, Transactions C: Aspects, Vol. 28, No. 12, (2015), 1802-1807. doi: 10.5829/idosi.ije.2015.28.12c.14.
  25. Goudarzi, K., Shojaeifard, M. and Fazelpour, M., "Effect of contact pressure and frequency on contact heat transfer between exhaust valve and its seat", International Journal of Engineering, Transactions B: Applications Vol. 21, No. 4, (2008), 401-408.
  26. Viviani, A. and Pezzella, G., "Heat transfer analysis for a winged reentry flight test bed", International Journal of Engineering, Vol. 3, No. 3, (2009), 329-345.
  27. Kostikov, Y.A. and Romanenkov, A.M., "Approximation of the multidimensional optimal control problem for the heat equation (applicable to computational fluid dynamics (CFD))", Civil Engineering Journal, Vol. 6, No. 4, (2020), 743-768. doi: 10.28991/cej-2020-03091506.
  28. Abderrahmane, B., Naima, B., Tarek, M. and Abdelghani, M., "Influence of highway traffic on contamination of roadside soil with heavy metals", Civil Engineering Journal, Vol. 7, No. 8, (2021), 1459-1471. doi: 10.28991/cej-2021-03091736.
  29. Valvano, T. and Lee, K., "An analytical method to predict thermal distortion of a brake rotor", SAE Transactions, (2000), 566-571.
  30. Kumar, G.R., Thriveni, S., Reddy, M.R. and Gowd, G.H., "Design analysis & optimization of an automotive disc brake", International Journal of Advanced Engineering Research and Science, Vol. 1, No. 3, (2014), 24-29.
  31. More, A.V. and Sivakumar, R., "Cfd analysis of automotive ventilated disc brake rotor", Int. Journal of Engineering Research and Applications, ISSN, Vol., No. 2248-9622.
  32. Jaligama, S.K., Choudhary, P., Kumar, K.C., Prashanth, B. and Sreekanth, D., "Cfd and thermal analysis of atv disc brake", International Journal of Research and Technology, Vol. 7, (2020), 1511-1516.
  33. Newcomb, T., "Transient temperatures in brake drums and linings", Proceedings of the Institution of Mechanical Engineers: Automobile Division, Vol. 12, No. 1, (1958), 227-244.
  34. Newcomb, T. and Millner, N., "Cooling rates of brake drums and discs", Proceedings of the Institution of Mechanical Engineers: Automobile Division,  Vol. 180, No. 1, (1965), 191-205.