At Tyler Operations And Supply Chain Management Assignment Help – A large plate of thickness 2L

Question – A large plate of thickness 2L is at a uniform temperature of T; = 200°C, when it is suddenly quenched
by dipping it in a liquid bath of temperature T8 = 20°C. Heat transfer to the liquid is characterized by
the convection coefficient h.
(a) If x = 0 corresponds to the mid plane of the wall, on T – x coordinates, sketch the temperature
distributions for the following conditions: initial condition (t = 0), steady-state condition (t ? 8 ), and two
intermediate times.
(b) On coordinates, sketch the variation with time of the heat flux at x = L.
(c) If h = 100 W/m2 · K, what is the heat flux at x = L and t = O? If the wall has a thermal conductivity
of k = 50 W/m’ K, what is the corresponding temperature gradient at x = L …Read More?
(d) Consider a plate of thickness 2L = 20 mm with a density of p = 2770 kg/m3 and a specific heat cp
= 875 J/kg · K. By performing an energy balance on the plate, determine the amount of energy per
unit surface area of the plate (J/m2) that is transferred to the bath over the time required to reach
steady-state conditions.
(e) From other considerations, it is known that, during the quenching process, the heat flux at x = + L
and x = – L decays exponentially with time according to the relation, q” = A exp (- Bt), where t is in
seconds, A = 1.80 X 104 W/m2 · and B = 4.126 X 10- 3s -1. Use this information to determine the
energy per unit surface area of the plate that is transferred to the fluid during the quenching process. …Read Less

order now

Are you overwhelmed by your class schedule and need help completing this assignment? You deserve the best professional and plagiarism-free writing services. Allow us to take the weight off your shoulders by clicking this button.

Get help