A constant-property, one-dimensional plane slab of width 2L is initially at a uniform temperature. The slab is heated convectively with Bi = 5. Plot the dimensionless surface (x = L) and midplane temperatures (x = 0) in the range 0 < Fo<500. State clearly your definition of the dimensionless temperature. Retain four terms in the series solution employed for 0 < Fo<0.2. Comment on your results. Note: use log scale for the Fo plot to show the details when Fo is small.

One of the strengths of numerical methods is their ability to handle complex boundary conditions. In the sketch, the boundary condition changes from specified heat flux ′′ qs (into the domain) to convection, at the location of the node (m, n). Write the steady-state, two- dimensional finite difference equation at this node.

Consider a wall of thickness 50 mm and thermal conductivity 14 W/m.K, the left side (x-0) is insulated. Heat generation (q) is present within the wall and the one dimensional steady-state temperature distribution is given by T(x) = ax +bxtc [°C] , where c 200 °C, a = -1285 °C/m , b=needs to he determined, andx is in meters. What is the heat fluxes at the right side, x = L, (kW/m )? 9, K 4L) Insulation

(a) Consider nodal configuration shown below. (a) Derive the finite-difference equations under steady-state conditions if the boundary is insulated. (b) Find the value of Tm,n if you know that Tm, n+1= 12 °C, Tm, n-1 = 8 °C, Tm-1, n = 10 °C, Ax = Ay = 10 mm, and k = W 3 m. k Ay m-1, n 11- m2, 11 m, n+1 m, n-1 The side insulated

SOLVE STEP BY STEO IN DIGITAL FORMAT A horizontal tube 6 m long and 123.5 cm in diameter is maintained at a temperature of 150 °C in a large room in which the air is at 20 "C and 8 W/m² "C The walls of the room are at 38 °C Assume that the emissivity of the tube is 0.76. How much heat is lost from the tube by both convection and radiation?

Pls answer 4-10show complete step by step solution

Solve this Differential Equation question applying the Newton’s law of cooling and heating: 1.) It was noon on a cold December day in Tampa: 16°C. Detective Tavlor arrived at the crime scene to find the sergeant leaning over the body. The sergeant said there were several suspects. If they knew the exact time of death, then they could narrow the list. Detective Taylor took out a thermometer and measured the temperature of the body: 34.5°C. He then left for lunch. Upon returning at 1:00 P.M., he found the body temperature to be 33.7°C. When did the murder occur? |Hint: Normal body temperature is 37°C.|

Q4/ A room on the second floor of a house with a balcony has a door. The door made of teak (wood) and it contains a large sheet of glass (outside winter type) in the middle and constitutes 80% of the area of the door. Door thickness is 40 mm and the temperature in the room 25. °C when the temperature is in the balcony 8 °C. Calculate the rate of heat loss from the room to the balcony through the door. The door dimensions 2m x 1m. Assume Inside and outside still air thermal resistance f= 8.29 W/m2 °C and f. 34.1 W/m2 °C respectively

how to quickly recognize isothermal boundary condition. and in case of isothermal boundary conditions,  sometimes its writtens as T=To and sometimes written dT/dx=0 which one to apply?