3. A hot plate is removed from an oven and is exposed to the surroundings. It cools due to hea loss by convection and ra

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3 A Hot Plate Is Removed From An Oven And Is Exposed To The Surroundings It Cools Due To Hea Loss By Convection And Ra 1 (90.52 KiB) Viewed 50 times

3. A hot plate is removed from an oven and is exposed to the surroundings. It cools due to hea loss by convection and radiation. The rate at which the plate's temperature, T, is changing with time is given by: dT -As - [OSBE(T4 - TA) + h(T − T…)] dt pV cv where: As - plate surface area = 0.25 m² V - volume = 0.003 m³ & -radiative emissivity = 0.8 p - mass density = 300 kg/m³ Too-ambient air temperature - 298K h - heat transfer coefficient - 30 W/m²/K C₂ - specific heat at constant volume = 900 J/kg/K OSB - Stefan-Boltzmann constant = 5.67 x 10-8 W/m²/K4 (a) (i) Use a built-in function in Matlab to determine the temperature profile of the hot plate from t=0 seconds to t = 200 seconds. A plot of the profile is required. [10 marks] (ii) Determine the temperature of the hot plate after 180 seconds. [2 marks] (b) What are the two requirements in applying any method for solving ordinary differential equations? Briefly describe each requirement. [4 marks] (c) State two implicit methods which can be used to solve ordinary differential equations. [4 marks] =