A hot silver plate is having its upper surface cooled by air forced convection of 15...

A hot silver plate is having its upper surface cooled by air forced convection of 15 °C with heat transfer coefficient of 220 W/m.K. The 10-cm thick plate (mass density ρ=8530 kg/m3, Cp=380J/kg.K, k=110 W/m.K, and α=33.9×10-6 m2/s) has a uniform initial temperature of 650 °C, and the bottom surface of the plate is insulated.

(a) calculate the Bi number and determine whether the lumped capacitance method can be used. (2 points)

(b) Determine the temperature at the center plane of the plate after 3 minutes of cooling. Solve this problem using the analytical one-term approximation method. (Hint: use table 5.1 in the lecture slides) (8 points)

Expert Solution

samet mamat answered 1 year ago

Forced convection A thin plate is suspended in air at 1 atm. with T? = 15°C....

Forced convection A thin plate is suspended in air at 1 atm. with T? = 15°C. Air flows on both sides of the plate where the bottom side absorbs a uniform radiative heat flux of 1542 W/m2. The plate is oriented parallel to the flow and the length along the flow direction is 60 cm. Consider the plate is negligibly thin and the width of the plate (perpendicular to the flow) is large, so that the problem can be considered...

A hot plate with a temperature of 60 ° C will be cooled by adding 50...

A hot plate with a temperature of 60 ° C will be cooled by adding 50 triangular profile needle blades k = 209 W / mK with a length of 59 mm and 10 mm. The ambient temperature is 20 C and the heat transfer coefficient on the surface is 20 W / m2K according to the situation; a-) Wing efficiency, b-) Total heat transfer rate (W) from the wings, c-) Calculate the effectiveness of a wing.

We can treat the earth’s surface as one plate of a capacitor, and the upper part...

We can treat the earth’s surface as one plate of a capacitor, and the upper part of the atmosphere as the other plate. This is a first order approximation: A parallel plate capacitor, with plates that have an area equal to the area of the surface of the earth, and the height of the atmosphere as the distance between plates: a) Find the capacitance of this system b) If the potential difference between ground and upper atmosphere is 100,000 V,...

(a) Find the pressure difference on an airplane wing if air flows over the upper surface...

(a) Find the pressure difference on an airplane wing if air flows over the upper surface with a speed of 114m/s , and along the bottom surface with a speed of 107m/s . (in kPa) (b) If the area of the wing is 32m2 , what is the net upward force exerted on the wing? (in kN)

A thin plate is suspended in air at 1 atm. with T_infinite= 15°C. Air flows on...

A thin plate is suspended in air at 1 atm. with T_infinite= 15°C. Air flows on both sides of the plate where the bottom side absorbs a uniform radiative heat flux of 1542 W/m2. The plate is oriented parallel to the flow and the length along the flow direction is 60 cm. Consider the plate is negligibly thin and the width of the plate (perpendicular to the flow) is large, so that the problem can be considered as a 2D...

Tray dryers operate by passing hot air over the surface of a wet solid that is...

Tray dryers operate by passing hot air over the surface of a wet solid that is spread over trays arranged in racks. They are most widely used in the food and pharmaceutical industries. Its main advantage being its simple operation. However, it has the disadvantage of long drying times. From the concepts of drying that you have learned, what will you suggest to lessen drying time for tray dryers?

15 m3 /min of air at 104o F and 60% relative humidity is cooled to 59o...

15 m3 /min of air at 104o F and 60% relative humidity is cooled to 59o F and 100% relative humidity, and then reheated to 68o F. Find the following: a. The flow rate of dry air (BDA) in kg /min. b. The amount of water condensed during cooling stage. c. kW of power needed for cooling the air in the cooling stage. d. kW of power needed for the heating step.

a.) Find the pressure difference on an airplane wing where air flows over the upper surface...

a.) Find the pressure difference on an airplane wing where air flows over the upper surface with a speed of 120 m/s and along the bottom surface with a speed of 90 m/s. _____ Pa b.) If the area of the wing is 25 m2, what is the net upward force exerted on the wing? ____ N (You may assume the density of air is fixed at 1.29 kg/m3 in this problem. Also, you may neglect the thickness of the...

how to find surface temperature of the flat plate which is subjected to air flow from...

how to find surface temperature of the flat plate which is subjected to air flow from one side and constant temperature on the other side using Ansys fluent ?

Using psychrometric chat to answer the questions below: 15 m3/min humid air is to be cooled...

Using psychrometric chat to answer the questions below: 15 m3/min humid air is to be cooled using an air conditioning unit. The inlet air is at 35 °C and 60% relative humidity and should be cooled to 18 °C, at which point it will be saturated. a) Below which temperature will condensation start occurring? b) How much water will have condensed if cooled to 18 C (mw,out)? c) Determine the heat removal, Qout, using the first law of thermodynamics.

Question