3. A stainless steel sphere of thermal conductivity 16 W/m · K with a diameter of...

3. A stainless steel sphere of thermal conductivity 16 W/m · K with a diameter of 4 cm is exposed to a convective environment of 15 W/m2 · K, 20?C. Heat is generated uniformly in the sphere at a rate of 1.0 MW/m3 . Determine the steady-state temperature of the sphere at its center and its surface. Also determine the heat flux at a radius of 1.5 cm.

Solutions

Expert Solution

samet mamat answered 1 year ago

Next > < Previous

Related Solutions

A rod of diameter D = 25 mm and thermal conductivity of 60 W/m·K protrudes from...

A rod of diameter D = 25 mm and thermal conductivity of 60 W/m·K protrudes from a furnace with a wall temperature of 200ºC. The rod is welded to the furnace wall and is used as a hangar for instrumentation cables. To avoid damaging the cables, the surface temperature of last 100 mm of the rod must be kept below 100ºC. The ambient air temperature is 25ºC and the convection coefficient is 15 W/m2K. (a) Write the finite-difference equation for...

Consider a large plate of thickness 50 mm and thermal conductivity of k= 69 W/m.C in...

Consider a large plate of thickness 50 mm and thermal conductivity of k= 69 W/m.C in which heat is generated uniformly at a constant rate of 600 kW/m3. One side of the plate is insulated while the other side is subjected to convection to the environment at 30oC with a heat transfer coefficient of h= 94 W/m^2.C. considering six equal spaced nodes with a nodal spacing of 10 mm: (a) obtain the Finite Difference formulation of this problem, (b) determine...

In a slab of material 0.25 m thick and having a thermal conductivity of 45 W/mK,...

In a slab of material 0.25 m thick and having a thermal conductivity of 45 W/mK, the temperature °C at x under steady state is given by T = 100 + 200x – 400x2 when x is measured from one face in m. Determine the heat flow at x = 0, x = 0.125 and x = 0.25 m and also the temperatures and temperature gradients at these planes. If the difference in heat flow at these sections is due...

Q1. Suppose a hollow cylinder made of SS 316 with the thermal conductivity of 16.26 W/m...

Q1. Suppose a hollow cylinder made of SS 316 with the thermal conductivity of 16.26 W/m K, has inner diameter and thickness of 0.4 and 0.03 m, respectively and length of 1 m. Find the outer diameter of the cylinder (in meter) Q2. Calculate the thermal energy generation, if the volumetric heat generation inside the cylinder equal to 2.2 x 10^5 W/m^3 Q3. If the outer diameter of cylinder is changed to 0.46 m and the cylinder is cooled by...

1. Suppose a hollow cylinder made of SS 316 with the thermal conductivity of 16.26 W/m...

1. Suppose a hollow cylinder made of SS 316 with the thermal conductivity of 16.26 W/m K, has inner diameter and thickness of 0.4 and 0.05 m, respectively and length of 1 m. Find the outer diameter of the cylinder (in meter) 2. Calculate the thermal energy generation, if the volumetric heat generation inside the cylinder equal to 2.1 x 10^5 W/m^3 3. If the outer diameter of cylinder is changed to 0.46 m and the cylinder is cooled by...

6. Water steadily enters an extremely thin 100 m stainless steel pipe with a diameter of...

6. Water steadily enters an extremely thin 100 m stainless steel pipe with a diameter of 10 cm at a mass flow rate of 31.4 kg/s at 80 °C at 100 kPa. The convection heat transfer coefficient between the ambient air (20 °C) and water pipe is ℎ = 120 ?/(?^2)?. You can ignore the heat loss by radiation and assume the temperature of the water and pipe surface are almost same but the temperature Difference is very small but...

Convert: a. Thermal conductivity value of 0.3 Btu/(h ft oF) to W/(m oC). b. Surface heat...

Convert: a. Thermal conductivity value of 0.3 Btu/(h ft oF) to W/(m oC). b. Surface heat transfer coefficient value of 105 Btu/(h ft^2 oF) to W/(m^2 oC)

The following are the load and gage lengths from a stainless steel. The diameter of the...

The following are the load and gage lengths from a stainless steel. The diameter of the bar is 0.506 inch. Plot engineering stress versus engineering strain for the data shown. Find the 0.2% offset yield strength for this steel. Gage length (mm) Load (N) 50.8 0 50.8102 4.590x103 50.8203 9.779x103 50.8305 14.670x103 50.8406 19.560x103 50.8508 24.450x103 50.861 27.620x103 50.8711 29.300x103 50.9016 32.680x103 50.927 33.950x103 50.9524 34.580x103 50.9778 35.220x103 51.0032 35.720x103 51.816 40.540x103 53.34 48.390x103 55.88 59.030x103 58.42 65.870x103 60.96 69.420x103...

A steel pipe (k = 43 W/m K) carries a heat‐transfer fluid and is covered with...

A steel pipe (k = 43 W/m K) carries a heat‐transfer fluid and is covered with a 2‐cm layer of calcium silicate insulation (k = 0.029 W/m K) to reduce the heat loss. The inside and outside pipe diameters are 5.25 cm and 6.03cm, respectively. If the inner pipe surface is at 150°C and the exterior surface of the insulation is at 25°C, calculate: (a) The rate of heat loss per unit length of pipe (b) The temperature of the...

A 1 m long stainless steel wire has electrical conductivity of (4.05x10^6) Ωm−1, and end-to-end resistance...

A 1 m long stainless steel wire has electrical conductivity of (4.05x10^6) Ωm−1, and end-to-end resistance of (2.1680x10^0)Ω What is the radius of the wire in m?

Subjects