Semi-infinite solid heat transfer limitation
DOI:
https://doi.org/10.14419/ijet.v7i4.13.21347Published
09-10-2018Keywords:
adiabatic wall temperature, Crank Nicolson solution, heat transfer coefficient, heat transfer solution.Abstract
One-dimensional semi-infinite heat transfer solution is a common solution for transient heat transfer experiments. This solution is valid for a short certain amount of time before the semi-infinite solid became invalid. Crank Nicolson solution has been chosen to address this issue. This paper reports the time limitation for semi-infinite solid solution and justify the usability of Crank Nicolson solution given the same boundary conditions. The flat plate heat transfer experiment has been conducted. With the same boundary conditions, at Fourier number 0.1, the resultant heat transfer coefficient and adiabatic wall temperature have shown a good agreement between the semi-infinite solid solution and the Crank Nicolson solution. Beyond this Fourier number, both solutions have given inaccurate results. The inaccurate results are due to unsuitable boundary conditions. Future work will involve modification of the back face boundary conditions to address the time limitation of the one-dimensional semi-infinite solid heat transfer solution.
References
Baughn JW (1995), Liquid crystal methods for studying turbulent heat transfer. Int. J. Heat and Fluid Flow 16, 365-375
Chambers AC, Gillespie DRH, Ireland PT & Dailey GM (2003), A novel transient liquid crystal technique to determine heat transfer coefficient distributions and adiabatic wall temperature in a three-temperature problem. Journal of Turbomachinery 125, 538-546
Ireland PT & Jones TV (2000), Liquid crystal measurements of heat transfer and surface shear stress. Meas. Sci. Technol. 11, 969-986
Yan Y & Owen JM (2002), Uncertainties in transient heat transfer measurements with liquid crystal. International Journal of Heat and Fluid Flow 23, 29-35
Abu Talib AR, Jaafar AA, Mokhtar AS, Mohd Saiah HR, Abd. Rahim I & Abdul Karim MS (2006), Effects of blowing ratio on the heat transfer coefficient distribution downstream of a single film cooling hole. International Journal of Engineering and Technology 3(1), 37-46
Ramli MS, Abu Talib AR, Harmin MY & Mohd Saiah HR (2016), Effect of multiple jet impingement plate configurations on Reynolds number in a pipe. IOP Conf. Series: Materials Science and Engineering 152
Shultz DL & Jones TV (1973), Heat transfer measurement in short duration hypersonic facilities. Advisory Group for Aerospace Research and Development, Paris, France
Pountney O, Cho GH, Lock GD & Owen JM (2012), Solutions of Fourier’s equation appropriate for experiment using thermochromic liquid crystal. International Journal of Heat and Mass Transfer 55, 5908-5915
Clifford RJ, Jones TV & Dunne ST (1983), Techniques for obtaining detailed heat transfer coefficient measurements within gas turbine blade and vane cooling passages. ASME International Gas Turbine Conference and Exhibit
O’Brien JE, Simoneau RJ, LaGraff JE & Morehouse KA (1986), Unsteady heat transfer and direct comparison for steady state measurements in a rotor wake experiment. International Heat Transfer Conference
Hippensteele SA & Russell LM (1988), High-resolution liquid-crystal heat transfer measurements on the endwall of a turbine passage with variations in Reynolds number. ASME National Heat Transfer Conference
Ireland PT, Gillespie DRH & Wang Z (1996), Heating Element. WIPO, World Intellectual Property Organization, Patent No: GB9602017
Ireland PT, Neely AJ, Gillespie DRH & Robertson AJ (1999), Turbulent heat transfer measurements using liquid crystals. International Journal of Heat and Fluid Flow 20, 355-367
Son C, Gillespie D, Ireland P & Dailey GM (2001), Heat transfer and flow characteristics of an engine representative impingement cooling system. Journal of Turbomachinery 123, 154-160
Mohd Saiah HR, Abu Talib AR, Abdullah N, Abdul Jalil NA & Mokhtar AS (2008), Experimental investigation of fast response heater for transient heat transfer application, HFT_0041
Holman JP (2010), Heat Transfer. McGraw-Hill Higher Education
Mohd Saiah HR, Mohd Rafie AS & Romli FI (2018), Freestream velocity correction in narrow channels. Journal of Mechanical Engineering SI5(2), 54-66