A very long, rectangular cross-section block is made from metal with the following properties: thermal conductivity = 130 W/mK, density = 2771 kg/m³, and specific heat capacity = 703 J/kgK. Initially all 4 sides of the cross section are maintained at 373 K. Then the temperature of one side is suddenly increased to 473 K. The temperature profile in the block will be investigated using an explicit finite difference model. If the time step is fixed at 5.5 seconds, what is the limit for node spacing that should be used to ensure stability of the solution? Give your numerical answer in mm to 1 decimal place.

Q: A long plastic rod of 20-mm diameter (k = 0.3 W/m-K and pc, = 1040 kJ/m3.K) is uniformly heated in…

A: Given: The diameter of rod, d = 20 mm = 0.02 m The thermal conductivity, k = 0.3 W/m.K The…

Q: A copper rod has an initial length 5.0 cm and a thermal expansion coefficient of 16 x 10-6 /K. It is…

A:

Q: section radius of a bar of metal of length L and uniform coefficient of thermal conductivity k is…

A:

Q: (a) Consider nodal configuration shown below. (a) Derive the finite-difference equations under…

A:

Q: Steel pipe 3 cm thick, 1.0 m long and 10 cm deep, quiet with 6 cm thick insulation. The inner wall…

A:

Q: A small stainless-steel rod 7 mm in diameter was heated so it is at 300 °C. It is quenched in a bath…

A: given data  d= 7mm Ts = 300°c h= 30 w/m2 k to find time t

Q: A hollow infinite cylinder has internal radius 0.5 and exterior radius 2.0. The external surface is…

A: Internal radius of hollow infinite cylinder= 0.5Exterior radius of hollow infinite cylinder=…

Q: Consider a solid sphere of radius R with a fixed surface temperature, IR. Heat is generated within…

A: The heat generated is given by q=20+10r   W/m3. The radius of the sphere is R=3 m. The thermal…

Q: The composite wall of an oven consists of three materials, two of which are of known thermal…

A: Given:kA=25 W/m.KkC=60W/m.KLA=0.40 mLB=0.20 mLC=0.20 mTs,o=20oCTs,i=600oCT∞=800oCh=25 W/m2.KFind:The…

Q: In this question, we are concerned with the evolution of the temperature u(x, t) in a homogeneous…

A: To solve for the temperature distribution on a body, we need to solve a general heat equation. This…

Q: A 12 cm thick wall has a thermal diffusivity of 1.5 x 10-6 m2/s and initially a uniform temperature…

A: Assume that one dimensional and divide 0.12 m thick wall into 4 equal parts each having 0.03 m…

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.