Let a metallic rod 22 cm in length be heated to a uniform temperature of 90°C. Suppose that at t-...
1. Answer following questions based on the given heat conduction problem. 1.71urr = ut 0< x < 10, t> 0; u(0,t) = 25, u(10,t) = 5, t> 0; u(x,0) = –22 + 8x + 25, 0 < x < 10 (a) What is the length of the bar (in centimeters)? (b) What is the temperature of the bar at the left end in degrees C)? At the right end? (c) What is the initial temperature at x = 5? At...
3. A metallic rod 20 cm long is heated to a uniform temperature of 100° C. At t = 0 the ends of the bar are plunged into an ice bath at 0° C and thereafter maintained at this temperature. Find an expression for the temperature u(x, t) if the bar is made of cast iron. (Use Table 1)
LT An aluminum rod of diameter D 2.5 cm and of length from a wall maintained at T, 300"C. The.coovective heat coefficient h 17 W/m2-K with an ambie.t air temperature T Thermal conductivity k = 204 WmK. Assume there is e luid by convection from the end of the rod, which is at temperature Ta. Using 2. -38c. nergy transfer to the a finite difference method, with Ax = 5 cm, the fo be derived for the solution of the...