. The sides BC, CD and DA are maintained at zero temperature. The temperature distribution along AB is defined by f (x) = x (x - 5). Determine an expression for the steady state temperature at any point in the plate.
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Two sides AB and AD of a reetangular plate ABCD lie along the x
and y axes respectively. The remaining two sides are the lines x = 5
and y = 2. The sides BC, CD and DA are maintained at zero
temperature. The temperature distribution along AB is defined by
f (x) = x (x - 5). Determine an expression for the steady state
temperature at any point in the plate.
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- A metal plate with a width of the base is located on the positive x-axis. The plate extends along the positive y-axis with infinite length. The base plate is given a temperature of T = x⁰ while the temperature of the plate on the other three sides is maintained at 0⁰. Determine the temperature of each point on the metal, T(x,y).1. The boiling temperature of water is 100 °C. If you put boiling water in a mugplaced at the table top, you observed that after some time the water cools down,decreasing the temperature of water in the mug. Why is this so? Explain using theZeroth Law of Thermodynamics. What happens to objects when temperature increases? For instance, a jar cover an be removed by putting the cover in hot water. Why is this so?In Betty Crocker’s Cookbook, it is stated that it takes 2 h 45 min to roast a 3.2-kg rib initially at 4.5°C “rare” in an oven maintained at 163°C. It is recommended that a meat thermometer be used to monitor the cooking, and the rib is considered rare done when the thermometer inserted into the center of the thickest part of the meat registers 60°C. The rib can be treated as a homogeneous spherical object with the properties r = 1200 kg/m3, cp = 4.1 kJ/kg·K, k = 0.45 W/m·K, and a = 0.91 * 10-7 m2/s. Determine (a) the heat transfer coefficient at the surface of the rib; (b) the temperature of the outer surface of the rib when it is done; and (c) the amount of heat transferred to the rib. (d) Using the values obtained, predict how long it will take to roast this rib to “medium” level, which occurs when the innermost temperature of the rib reaches 71°C. Compare your result to the listed value of 3 h 20 min. If the roast rib is to be set on the counter for about 15 min before it is sliced,…
- Awatermelon initially at 35°C is to be caoled by dropping itinto a lake at 15°C. After 4 h and 40 min of cooling the center temperature of watermelon is measured to be 20°C. Treating the watermelon 25 a 20-c-diameter sphere and using the properties k = 0.618 WimDerive the temperature distribution equation for the adiabatic fin tip. Boundary condition x=0, theta = theta b. theta/theta b= cosh*(m*(L-x)) / cosh*(mL) Please HelpThe boiling temperature of nitrogen at atmospheric pressure at sea level (1 atm pressure) is -196 °C. Therefore, nitrogen is commonly used in low-temperature scientific studies since the temperature of liquid nitrogen in a tank open to the atmosphere will remain constant at -196 °C until it is depleted. Any heat transfer to the tank will result in the evaporation of some liquid nitrogen, which has a heat of vaporization of 198 kJ/kg and a density of 810 kg/m3 at 1 atm. Consider a 3-m-diameter spherical tank that is initially filled with liquid nitrogen at 1 atm and -196 °C. The tank is exposed to ambient air at 15° C, with a combined convection and radiation heat transfer coefficient of 35 W/m2⋅K. The temperature of the thin-shelled spherical tank is observed to be almost the same as the temperature of the nitrogen inside. Determine the rate of evaporation (in kg/s) of the liquid nitrogen in the tank as a result of the heat transfer from the ambient air if the tank is insulated with…
- 3.4 Estimate the rate of heat loss due to radiation from a covered pot of water at 95 ° C. How does this compare with the 60 W that is lost due only to convection and conduction losses? What amount of energy input would be needed to maintain the water at its boiling point for 30 minutes? The polished stainless steel pot is cylindrical, 20 cm in diameter and 14 cm high, with a tight-fitting flat cover. The air temperature in the kitchen is about 25 ° C. State any assumptions you make in deriving your estimatesIf the surface of a plane wall with heat conduction coefficient k is under constant heat flux (q0 ") condition at x = 0 and its surface at x = L is at temperature Ts, which of the following is the temperature distribution of this plane wall?A copper pipe is used as electrical resistance to generate heat. This generation is equal to A/r per unit ofvolume, where “r” is the measured distance from the pipe axis. determine the profile of temperatures if the temperatures in the pipe walls are respectively T1 and T2.
- 20. The two plates of Problem 11 made of the same material and having constantk are exposed on one side to hot water at Tw and hw and on the other to cold air atTa and ha. Find a) the equation for temperature profile in these plates and b) temperaturesat x = 0 and at x = L if hw = ha = h. [Ans.: a) T1(x) = c1x + c2 where, c1 = hw(Ta – Tw)/c3 and c2 – Ta = – hw(haL +k)(Ta – Tw)/(hac3) where c3 = (k + hwL + hwk/ha)].A steel rod, which is free to move, has a length of 200 mm and diameter of 20 mm at a temperature of 15°C. If the rod is heated uniformly to 115°C, determine the length and the diameter of this rod to the nearest micron at the new temperature if the linear coefficient of thermal expansion of steel is 12.5 x 10 m/m/°C. Wrong solution will be reported instantlyThe heat conducts through the shape below. The temperature of the right face is 93 °C, while the left face is at 23 °C. If the top and bottom faces are completely insulated, and the thermal conductivity of the material decreases with decreasing temperature. * Assume that the thermal conductivity is 100 at 23, decreased to 10 at 93. A) Sketch the temperature profile inside the plate. B) If both sides of the plate in the above problem is exposed to air: Left side (h = 20 W/m2K, TL = 20 °C) and right side (h = 90 W/m2K). Calculate the temperature of the air on the right side.