1. An aluminum circular cylinder 50 mm in diameter with ends insulated is initially at 100◦C....

1. An aluminum circular cylinder 50 mm in diameter with ends insulated is initially at 100◦C. Approximate the temperature at the center of the cylinder after 2 s if the lateral surface is kept at 0◦C.For aluminum, k = 8.6 × 10−5m² /s.

2. A circular cylinder 1 m in radius is completely insulated and has an initial temperature distribution 100r ◦C. Find an expression for the temperature as a function of r and t. Write integral expressions for at least three coefficients in the series expansion.

Solutions

Expert Solution

samet mamat answered 1 year ago

Next > < Previous

Related Solutions

A cylinder 100 mm in diameter and 80 mm long with an initial temperature of 527...

A cylinder 100 mm in diameter and 80 mm long with an initial temperature of 527 C is suddenly exposed to water at 27 C giving a convective heat transfer coefficient of 400 W/m2-K. Determine the temperature at the center of the cylinder after 10 minutes. Assume density is 8050 kg/m3, specific heat is 536 kJ/kg-K, and thermal conductivity is 18.6 W/m-K. **** Not lumped Capacitance Problem. ****

. A 20 mm diameter sphere made of aluminum alloy 2024 initially at a uniform temperature...

. A 20 mm diameter sphere made of aluminum alloy 2024 initially at a uniform temperature of 500 ºC is suddenly immersed in a saturated water bath maintained at atmospheric pressure. The surface of the sphere has an emissivity or 0.25. Determine. a.) the total heat transfer coefficient for this initial condition, and b.) what fraction of the total coefficient is contributed by radiation. (~180 W/m2 -K, ~ 7%)

An insulated cylinder fitted with a movable piston to maintain constant pressure initially contains 100 g...

An insulated cylinder fitted with a movable piston to maintain constant pressure initially contains 100 g of ice at -10 C. Heat is supplied to the contents at a constant rate by a 100 W heater. Make a graph showing temperature of the cylinder contents as a function of time starting at t = 0, when the temperature is -10 C and ending when the temperature is 110 C. Let c = 2.0 kJ/kg K for specific heat of ice...

A compound thin cyclinder has a common diameter of 100 mm and the inner cylinder has...

A compound thin cyclinder has a common diameter of 100 mm and the inner cylinder has a thickness of 2.5 mm. The radial pressure between the two cylinders is 200 kPa and the difference between the two common diameters before shrinkage was 4.305×10-3 mm. Determine (a) the thickness of the outer cylinder (b) the resultant hoop stresses in both cylinders if the compound cylinder is subjected to an internal pressure of 180 kPa. (E = 200 GPa)

A circular shaft, 100 mm diameter is subjected to combined bending moment and torque, the bending...

A circular shaft, 100 mm diameter is subjected to combined bending moment and torque, the bending moment being 3 times the torque. If the direct tension yield point of the material is 300 MN/m2 and the factor of safety on yield is to be 4, calculate the allowable twisting moment by the three following theories of failure: (a) Maximum principal stress theory (b) Maximum shear stress theory (c) Maximum shear strain energy theory.

At the center of a 50-mm-diameter circular ice rink, a 77 kgkg skater traveling north at...

At the center of a 50-mm-diameter circular ice rink, a 77 kgkg skater traveling north at 2.3 m/sm/s collides with and holds onto a 67 kgkg skater who had been heading west at 3.9 m/sm/s . How long will it take them to glide to the edge of the rink? Where will they reach it? Give your answer as an angle north of west.

At the center of a 50-mm-diameter circular ice rink, a 76 kg skater traveling north at...

At the center of a 50-mm-diameter circular ice rink, a 76 kg skater traveling north at 2.7 m/s collides with and holds onto a 61 kg skater who had been heading west at 3.8 m/s . How long will it take them to glide to the edge of the rink? Express your answer using two significant figures. Where will they reach it? Give your answer as an angle north of west.

A sample of concrete which is a cylinder 150 mm in diameter and 300 mm in...

A sample of concrete which is a cylinder 150 mm in diameter and 300 mm in length is placed in a test fixture. A load of 12,000 N is applied to the concrete specimen along the cylindrical axis and the length is observed to change 1 mm. Calculate Young's modulus in GPa.? Please reply as soon as possible

3. A graduated cylinder is filled with 50 mL of water . An aluminum cylinder is...

3. A graduated cylinder is filled with 50 mL of water . An aluminum cylinder is dropped , the water rises to 58 mL . As you also add a copper cylinder , the water rises to 64 mL . If the mass of the copper cylinder is 40 grams , find the density of the copper cylinder in g/mL. a) 5 g/mL b) 6.7 g/mL c) 2.9 g/mL d) 40 g/mL 3. A graduated cylinder is filled with 50...

) A 50 mm-diameter propeller was installed in a 150 mm-diameter water pipe and the propeller...

) A 50 mm-diameter propeller was installed in a 150 mm-diameter water pipe and the propeller speed was measured for a range of water discharge in the pipe. The water had a density and dynamic viscosity of 1000 kg/m3 and 0.00112 Ns/m2 respectively. The measured results were as follows: Q (litres/s): 12 28 45 63 95 120 160 180 N (rps): 5 10 15 20 30 40 60 80 Plot the dependence of propeller coefficient against propeller Reynolds number. A...

Subjects