Simultaneous measurements of velocity and temperature fluctuations in thermal boundary layer in a drag-reducing surfactant solution flow |
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Authors: | F.-C. Li D.-Z. Wang Y. Kawaguchi K. Hishida |
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Affiliation: | (1) Center for Smart Control of Turbulence, Turbomachinery Research Group, Institute for Energy Utilization, National Institute of Advanced Industrial Science and Technology, 305-8564 Tsukuba, Japan;(2) School of Mechanical Engineering, Shanghai Jiao Tong University, 1954 Huashan Road, 200030 Shanghai, People s Republic of China;(3) Department of System Design Engineering, Keio University, 223-8522 Yokohama, Japan |
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Abstract: | ![]() The mechanism of turbulent heat transfer in the thermal boundary layer developing in the channel flow of a drag-reducing surfactant solution was studied experimentally. A two-component laser Doppler velocimetry and a fine-wire thermocouple probe were used to measure the velocity and temperature fluctuations simultaneously. Two layers of thermal field were found: a high heat resistance layer with a high temperature gradient, and a layer with a small or even zero temperature gradient. The peak value of was larger for the flow with the drag-reducing additives than for the Newtonian flow, and the peak location was away from the wall. The profile of was depressed in a similar manner to the depression of the profile of in the flow of the surfactant solution, i.e., decorrelation between v and compared with decorrelation between u and v. The depression of the Reynolds shear stress resulted in drag reduction; similarly, it was conjectured that the heat transfer reduction is due to the decrease in the turbulent heat flux in the wall-normal direction for a flow with drag-reducing surfactant additives.List of symbols ensemble averaged value - (·)+ normalized by the inner wall variables - (·) root-mean-square value - C concentration of cetyltrimethyl ammonium chloride (CTAC) solution - c p heat capacity - D hydraulic diameter - f friction factor - H channel height - h heat transfer coefficient - j H Colburn factor - l length - Nu Nusselt number, h - Pr Prandtl number,   c p/ - q w wall heated flux - Re Reynolds number, U b/ - T temperature - T b bulk temperature - T i inlet temperature - T w wall temperature - T friction temperature, q w / c p u - U local time-mean streamwise velocity - U 1 velocity signals from BSA1 - U 2 velocity signals from BSA2 - U b bulk velocity - u streamwise velocity fluctuation - u1 velocity in abscissa direction in transformed coordinates - u friction velocity, - v wall-normal velocity fluctuation - v1 velocity in ordinate direction in transformed coordinates - var(·) variance - x streamwise direction - y wall-normal direction - z spanwise direction - j junction diameter of fine-wire TC - w wire diameter of fine-wire TC - angle of principal axis of joint probability function p(u,v) - f heat conduction of fluid - w heat conduction of wire of fine-wire TC - kinematic viscosity - local time-mean temperature difference, T w –T - temperature fluctuation - standard deviation - density - w wall shear stress |
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