A metal bar of length 20 cm has an initial temperature distribution of 2x+2 °C. Suddenly...
A metal bar of length 20 cm has an initial temperature distribution of 2x+2 °C. Suddenly the right end of the bar is contacted with an environment with constant temperature of 90°C. The left end is brought into contact with a temperature varying environment as 12+0.05t °C, where time is measured in seconds. Find the temperature distribution after 20 seconds.
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A metal bar of length 20 cm has an initial temperature
distribution of 2x+2 °C. Suddenly...
Consider a uniform bar of length L having an initial temperature distribution given by f(x), 0...
Consider a uniform bar of length L having an initial temperature distribution given by f(x), 0 < x < L. Assume that the temperature at the end x=0 is held at 0°C, while the end x=L is thermally insulated. Heat is lost from the lateral surface of the bar into a surrounding medium. The temperature u(x, t) satisfies the following partial differential equation and boundary conditions aluxx – Bu = Ut, 0<x<l, t> 0 u(0,t) = 0, uz (L, t)...
A small metal bar, whose initial temperature was 20° C, is dropped into a large container of bowling water. How long will it take the bar to reach 90°C if it is known that its temperature increase to 22°C in 1 second?
A small metal bar, whose initial temperature was 20° C, is dropped into a large container of bowling water. How long will it take the bar to reach 90°C if it is known that its temperature increase to 22°C in 1 second?
section 18.2 9. A thin, homogeneous bar of length L has initial temperature equal to a...
section 18.2 9. A thin, homogeneous bar of length L has initial temperature equal to a constant B. and the right end (x=L) is insulated , while the left end is kept at a zero temperature. Find the temperature distribution in the bar 1.8. The graph below corresponds to a centrifugal pump with diameter D and operating at a particular speed N when handling water. If the speed is now reduced to half the original speed what will be the...
A small metal bar, whose initial temperature was 30°C, is dropped into a large container of...
A small metal bar, whose initial temperature was 30°C, is dropped into a large container of boiling water. Its temperature was 33° after 1 second. How long will it take the bar to reach 90°C?
A small metal bar, whose initial temperature was 20° C, is dropped into a large container...
A small metal bar, whose initial temperature was 20° C, is dropped into a large container of boiling water. How long will it take the bar to reach 70° C if it is known that its temperature increases 2º during the first second? (The boiling temperature for water is 100° C. Round your answer to one decimal place.) sec How long will it take the bar to reach 98° C? (Round your answer to one decimal place.) sec Need Help?...
A brick oven of 20 cm thick has the following temperature profile at initial time. (from...
A brick oven of 20 cm thick has the following temperature profile at initial time. (from inside to outside) ?=2?+25 ? [?:?? ??] Suddenly the inside surface (Left) of the brick oven is being contacted with 1000C and the other side (Right) is being contacted with 300C. The model equation is given as follows: ?.?? (?2?/??2)=??/?? M Make the required corrections and modifications in the following function to Find the temperature profile of the brick oven (for t=20 min, Δx=4...
Consider a 2 m long metal rod. The temperature u(z,t) at a point along the rod at any time t is found by solving the heat equation k where k is the material property. The left end of the rod ( 0) is...
Consider a 2 m long metal rod. The temperature u(z,t) at a point along the rod at any time t is found by solving the heat equation k where k is the material property. The left end of the rod ( 0) is maintained at 20°C and the right end is suddenly dipped into snow (0°C). The initial temperature distribution in the rod is given by u(x,0)- (i) Use the substitution u(z,t) ta,t)+20-10z to reduce the above problem to a...
2. (4 pts) A small metal bar, whosetemperature was 20 C at 2 pm was dropped...
2. (4 pts) A small metal bar, whosetemperature was 20 C at 2 pm was dropped into a container of boiling water. After 10 minutes its temperature rose to 25 C. The metal bar was left in the water until 2:20pm. (a) What was its temperature when it was taken out of the water at 2:20pm? (b) Suppose the bar was then put in in a refrigerator which had a fixed temperature of OC at 2:20pm. At 2:30pm, the temperature...
A bar with a length of 1 m has a fixed temperature of 100°C at one...
A bar with a length of 1 m has a fixed temperature of 100°C at one end and the = 0 a) other end is fixed to the temperature of 0°C, as shown in Figure 1. The one dimensional finite difference steady state temperature distribution along the bar is given by: Ti_1 - 27; +Ti+1 If the bar is divided into five equal segments, derive a set of four finite difference equations using Equation (1) for the temperature distribution along...
A metal rod of length a cm has initial temperature function f(x) = 2 sin 3x...
A metal rod of length a cm has initial temperature function f(x) = 2 sin 3x and its two ends are held at temperature zero for all time t>O The heat equation is given as: ди au 4 for 0 < x < it and t > 0 at @x? Boundary conditions: u(0,t) = u(1,t)=0, Initial conditions: u(x,0) = 2 sin 3x By using the method of separation of variables, calculate the general temperature u(x,t) for all cases, k =...
Consider a uniform bar of length L having an initial temperature distribution given by f(x), 0 < x < L. Assume that the temperature at the end x=0 is held at 0°C, while the end x=L is thermally insulated. Heat is lost from the lateral surface of the bar into a surrounding medium. The temperature u(x, t) satisfies the following partial differential equation and boundary conditions aluxx – Bu = Ut, 0<x<l, t> 0 u(0,t) = 0, uz (L, t)...
section 18.2 9. A thin, homogeneous bar of length L has initial temperature equal to a constant B. and the right end (x=L) is insulated , while the left end is kept at a zero temperature. Find the temperature distribution in the bar 1.8. The graph below corresponds to a centrifugal pump with diameter D and operating at a particular speed N when handling water. If the speed is now reduced to half the original speed what will be the...
A small metal bar, whose initial temperature was 30°C, is dropped into a large container of boiling water. Its temperature was 33° after 1 second. How long will it take the bar to reach 90°C?
A small metal bar, whose initial temperature was 20° C, is dropped into a large container of boiling water. How long will it take the bar to reach 70° C if it is known that its temperature increases 2º during the first second? (The boiling temperature for water is 100° C. Round your answer to one decimal place.) sec How long will it take the bar to reach 98° C? (Round your answer to one decimal place.) sec Need Help?...
Consider a 2 m long metal rod. The temperature u(z,t) at a point along the rod at any time t is found by solving the heat equation k where k is the material property. The left end of the rod ( 0) is maintained at 20°C and the right end is suddenly dipped into snow (0°C). The initial temperature distribution in the rod is given by u(x,0)- (i) Use the substitution u(z,t) ta,t)+20-10z to reduce the above problem to a...
2. (4 pts) A small metal bar, whosetemperature was 20 C at 2 pm was dropped into a container of boiling water. After 10 minutes its temperature rose to 25 C. The metal bar was left in the water until 2:20pm. (a) What was its temperature when it was taken out of the water at 2:20pm? (b) Suppose the bar was then put in in a refrigerator which had a fixed temperature of OC at 2:20pm. At 2:30pm, the temperature...
A bar with a length of 1 m has a fixed temperature of 100°C at one end and the = 0 a) other end is fixed to the temperature of 0°C, as shown in Figure 1. The one dimensional finite difference steady state temperature distribution along the bar is given by: Ti_1 - 27; +Ti+1 If the bar is divided into five equal segments, derive a set of four finite difference equations using Equation (1) for the temperature distribution along...
A metal rod of length a cm has initial temperature function f(x) = 2 sin 3x and its two ends are held at temperature zero for all time t>O The heat equation is given as: ди au 4 for 0 < x < it and t > 0 at @x? Boundary conditions: u(0,t) = u(1,t)=0, Initial conditions: u(x,0) = 2 sin 3x By using the method of separation of variables, calculate the general temperature u(x,t) for all cases, k =...
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