In a hot ball, Biot number and Fourier number are 0.2 and (15). Find the temperature distribution at center, temperature distribution at ball surface, and actual to maximum heat transfer ratio.
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In a hot ball, Biot number and Fourier number are 0.2 and (15). Find the temperature
distribution at center, temperature distribution at ball surface, and actual to maximum heat
transfer ratio.
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- 1.4 To measure thermal conductivity, two similar 1-cm-thick specimens are placed in the apparatus shown in the accompanying sketch. Electric current is supplied to the guard heater, and a wattmeter shows that the power dissipation is 10 W. Thermocouples attached to the warmer and to the cooler surfaces show temperatures of 322 and 300 K, respectively. Calculate the thermal conductivity of the material at the mean temperature in W/m K. Problem 1.45.10 Experiments have been performed on the temperature distribution in a homogeneous long cylinder (0.1 m diameter, thermal conductivity of 0.2 W/m K) with uniform internal heat generation. By dimensional analysis, determine the relation between the steady-state temperature at the center of the cylinder , the diameter, the thermal conductivity, and the rate of heat generation. Take the temperature at the surface as your datum. What is the equation for the center temperature if the difference between center and surface temperature is when the heat generation is ?A square silicon chip 7mm7mm in size and 0.5-mm thick is mounted on a plastic substrate as shown in the sketch below. The top surface of the chip is cooled by a synthetic liquid flowing over it. Electronic circuits on the bottom of the chip generate heat at a rate of 5 W that must be transferred through the chip. Estimate the steady-state temperature difference between the front and back surfaces of the chip. The thermal conductivity of silicon is 150 W/m K. Problem 1.6
- A food product to produced in the form of small round (pellet) with frozen in the freezer water blast freezer. Air freezer operates at temperature -30 °C. The temperature of the products the beginning is 25 °C. Pellet has a diameter of 1.2 cm, and the density of 980 kg/m³. Temperature frozen beginning is -2.5 °C. The latent heat of freezing product is 280 kJ/kg. Conductivity thermal the frozen product is 1.9 W/(m °C). Coefficient displacement convective heat is 50 W/(m²K). Calculate the time freezing. a. tf =In a hot ball, Biot number and Fourier number are 0.2 and (10). Find the temperaturedistribution at center, temperature distribution at ball surface, and actual to maximum heattransfer ratio uses charts/table also if neededThere is a long cylinder inside an oven and we are using lumped capacitance method to find the temperature at its extremes. The temperature at the centre of the cylinder is 1000 C, what will be the temperature at its one end where it is away from heat source according to our calculations? not sufficient information more than 1000 C equal to 1000 C less than 1000 C
- 5. A disc of diameter 0.4 meters is rotating at 30 RPM in air. The air is at 1 atm, 300K. The disc is at 350K. What is the heat transfer rate from one side of the disc due to this rotation?Choose the false statement? We can express lumped capacitance relation as the combination of Biot and Fourier numbers At very low values of Prandtl number, material has higher thermal conductivity compared to its momentum diffusivity We can calculate convective heat transfer coefficient from Nusselt number If Biot number is less than 0.1, we can neglect thermal resistance in some direction None of the givenConsider a solid sphere of radius R with a fixed surface temperature, TR. Heat is generated within the solid at a rate per unit volume given by q = ₁ + ₂r; where ₁ and ₂ are constants. (a) Assuming constant thermal conductivity, use the conduction equation to derive an expression for the steady-state temperature profile, T(r), in the sphere. (b) Calculate the temperature at the center of the sphere for the following parameter values: R=3 m 1₁-20 W/m³ TR-20 °C k-0.5 W/(m K) ₂-10 W/m³
- A polished stainless steel sphere (r= 5cm) is at a temperature of 540 C. The ambier air is at 20 C. What is the instantaneous heat transfer rate?please explain how the derivative first part clearlyThere is 100 grams of water in a brass calorimeter of mass 200 grams. It is found that 590 calories are required to raise the temperature of water and container from 20°C to 25°C. What is the specific heat of the brass? COMPLETE FBD SOLUTION AND REQUIREMENTS PS. THIS IS A HEAT TRANSFER PROBLEM