hat of the velocity boundary
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For fluids with small Prandt number
than that of the velocity boundary layer (δt ≫ δ), and it is reasonable to assume
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- Air at atmospheric pressure enters a heating duct with dimensions of 3 x 6 in. The air enters the 16 ft long duct with a temperature of 32 F, and the duct surface is maintained at 150 F. If the air exit temperature is to be 68 F, what is the air flow, in lb/hr? (answer in whole number) For air, R = 53.342 ft-lbf/lbm-R, k = 0.173 Btu-in/ft2-hr-F, and cp = 0.24 Btu/lbm-In a particular engineering application involving airflow (u) over a surface (length in the direction of the flow is L), the temperature distribution of the airflow T(x, y) is measured and can be approximated by the following expression: Tf(x,y)-Ts 1- exp(-º 0.0332 Re2Pr¹/3 = y), where x is the coordinate from the leading edge of x Too-Ts the surface and parallel to the flow direction, while y is the coordinate perpendicular to the surface. Ts is the temperature of the surface and Too is the temperature of the moving fluid, and both are constants. Rex is the Reynolds number with the characteristic length of.x, and Pr is the Prandtl number. Assume uniform properties in the fluid field (thermal conductivity ks, kinemati viscosity vs, etc.). (a) Based on the expression given above, derive the derivative of the fluid temperature (the slope) with respective to y, then find the derivative at the surface (x, y=0), i.e., ду TI at y=0 (b) Based on the derivation of (a), write the expression of…Topic: Heat transfer Completely solve and box the final answer. A 20degC water flows to 50cmx60cm flat plate with velocity of 6m/s . The flat plate surface temperature is maintained at 40deg C. The water flows parallel to the 50cm side of the plate. If the kinematic viscosity of water is 78x10-8 m2/s, What is the local heat flux (Q/A) at the end of the plate (k=0.72 W/m deg C, Re=3840000, and Pr=0.7)?
- Air at atmospheric pressure enters a heating duct with dimensions of 3 x 6 in. The air enters the 16 ft long duct with a temperature of 32 fahrenheit, and the duct surface is maintained at 150 fahrenheit. If the air exit temperature is to be 68 fahrenheit, what is the air flow, in lb/hr? (answer in whole number) For air, R = 53.342 ft-lbf/lbm-R, k = 0.173 Btu-in/ft2-hr-F, and cp = 0.24 Btu/lbm-Conduct thorough a research on Boundary layer and viscous sub layer, Shear stress in circular pipe as it relates to mechanics of fluidsTopic: Heat transfer Completely solve and box the final answer. Water flows at 5m/s is passed through a tube of 2.5 cm diameter, it is found to be heated from 20degC to 60degC. The heating is achieved by condensing steam on the surface of the tube and subsequently the surface temperature of the tube is maintained at 90degC. Water properties are as follows: density=995kg/m3, kinematic viscosity=.657x10-6 m2/s, Pr=4.43, k=.628W/mK, cp=4178J/kgK. Determine the Reynolds number.
- Fluid mechanics deals -----_in static and dynamic conditions O Liquids and gases O Liquids only O Gases and solids O Liquids and solidsTopic: Heat transfer Completely solve and box the final answer. 6. Water flows at 5m/s is passed through a tube of 2.5 cm diameter, it is found to be heated from 20degC to 60degC. The heating is achieved by condensing steam on the surface of the tube and subsequently the surface temperature of the tube is maintained at 90degC. Water properties are as follows: density=995kg/m3, kinematic viscosity=.657x10-6 m2/s, Pr=4.43, k=.628W/mK, cp=4178J/kgK. What is the heat absorbed by the water?Topic: Heat transfer Completely solve and box the final answer. 1. A 20degC water flows to 50cmx60cm flat plate with velocity of 5.2m/s . The flat plate surface temperature is maintained at 40deg C. The air flows parallel to the 50cm side of the plate. If the kinematic viscosity of water is 78x10-8 m2/s, at what length the flow become turbulent?
- (heat transfer ) thanks The velocity of the fluid flowing in parallel over a 500mmx500mm flat heater surface is U= 19 m/s and the inlet velocity temperature is T_∞15 C. The surface temperature of this plate is T_s140 C, the friction force is F_D=0.4 N and the surface area of the plate is A=0.32 m2. According to this;(F_D= 0.4N A=32 m2)a) Surface shear stressb) Find the coefficient of frictionc) Heat transfer coefficientd) What is the amount of heat transfer (electric power) that must be given to maintain a constant surface temperature?A 1-in-diameter (D = 1 inch) rotating machined shaft has a groove 0.1-in deep with a 0.1-in radius machined into it. The shaft is subjected to a pulsating (i.e. R = 0) torque and bending moment of following values. Based on laboratory experiments at 550°F, Sut = 150 ksi, Sy = 120 ksi, and S'e = 90 ksi are measured. Using mod-Goodman equation and for operating temperature of 550°F and 90% reliability, determine the factor of safety for yielding and fatigue of this shaft. Tmax = 2000 Ib-in Mmax = 1600 lb-in Mmin = -1200 Ib-in D - -d- M T M TMass flow rate of hot fluid is 0.007 kg/s. Convection heat transfer coefficient of hot fluid stream is 1000 W/m?.°C. Thermophysical properties are given as follows. Hot fluid; c, = 5000 J/kg.°C Water; dynamic viscosity, µ = 0.001 Pa.s; Prandti number, Pr = 6.14; thermal conductivity, k = 0.607 W/m.°C; density, p = 1000 kg/m³; specific heat c, = 4200 J/kg.°C. Neglecting conduction resistance of the pipe, calculate heat exchanger effectiveness (ɛ), heat transfer rate (Q in J/s), outlet temperatures of the hot fluid (Thout) and water (Tw.out) for varying mass flow rate values of water provided below. Mass flow rate of water, m (kg/s) 0.0025 0.01 0.025 0.05 0.075 0.1 Plot heat exchanger effectiveness (ɛ), heat transfer rate (Q in J/s), outlet temperatures of the hot fluid (Thout) and water (Tw.out) as a function of water mass flow rate (m .). Comment on the results. Hot fluid in (65 °C) Water Water in (25 °C) out d = 0.5 cm Hot fluid out L= 5 m