A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the other end is at x = 3. The thermal diffusivity of the bar is k = 0.4. The bar's initial temperature f(x) = 50 degrees Celsius. The ends of the bar (x = 0 and x = 3) are then put in an icy bath and kept at a constant o degrees C. Let u(x, t) be the temperature in the bar at x at time t, with t measured in seconds. Find u(x, t) and then u (2, 0.1). Put ug (2, 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.

A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the other end is at x = 3. The thermal diffusivity of the bar is k = 0.4. The bar's initial temperature f(x) = 50 degrees Celsius. The ends of the bar (x = 0 and x = 3) are then put in an icy bath and kept at a constant o degrees C. Let u(x, t) be the temperature in the bar at x at time t, with t measured in seconds. Find u(x, t) and then u (2, 0.1). Put ug (2, 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

For aesthetic purposes, you are to fit a metal rod into a stainless-steel hole for your house's design. The hole is 9.988 mm in diameter. If the rod is to be heated so that it will fit into the hole, what will be the temperature in °C? Assume: Your house's temperature is 25°C The length of the rod is around 10 mm. Linear coefficient of the metal rod is 4.5×10-6°C and for the stainless steel is 16×10-6°C
Find the temperature of a rod 0 < x < 1 thermally insulated along the surface, if heat sources of density equal to (t) sin (7) are continuously distributed over the rod, and the initial temperature of the rod is an arbitrary function f(x) and the temperature of the ends is maintained equal to zero.
حل السوالين
Please help me solve this problem
Find the steady-state temperature distribution in a (very long) solid cylinder if the boundary temperatures are T(s=0, θ, z)=0 and T(s, θ, z=0)=s*sinθ
A slab of thickness L = 0.1 m and of thermal conductivity k = 1 W/mK has the temperature distribution as T(x) = ax2 + bx + c. The boundary conditions; insulation at at x = L and a 100 W/m2 constant heat flux at x = 0. What is the temperature at the insulated surface if c = 5 °C?
2. The lateral surface of a 50-units-long, thin vertical rod is insulated. When 0
B5
Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video. An airplane has a half-wingspan of 31 m. Determine the change in length of the aluminum alloy [a = 24.0 × 10-6/°C] wing spar if the plane leaves the ground at a temperature of 17°C and climbs to an altitude where the temperature is -51°C. Answer: 6 = i mm
A slab of thickness L = 0.1 m and of thermal conductivity k = 1 W/mK has the temperature distribution as T(x) = ax2 + bx + c. The boundary conditions; insulation at at x = L and a 100 W/m2 constant heat flux at x = 0. What is the temperature at the insulated surface if c = 5 °C?
A thin bar of length L = 3 meters is situated along the x axis so that one end is at x = 0 and the other end is at x = 3. The thermal diffusivity of the bar is k = 0.4. The bar's initial temperature f(x) = 300 degrees Celsius. The ends of the bar (x = 0 and x = 3) are then put in an icy bath and kept at a constant O degrees C. Let u(x, t) be the temperature in the bar at x at timet, with t measured in seconds. Find u(x, t) and then u7 (2, 0.1). Put uz (2, 0.1) calculated accurately to the nearest thousandth (3 decimal places) in the answer box.
As shown in the figure, when the temperature was 20 ° C, a 0.5 mm gap was left. Just determine the approximate value of the Temperature (° C) needed to close the gap.