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Category > Computer Science Posted 13 Jul 2017 My Price 12.00

surface known as emissivity

A copper sphere of diameter 5 cm is initially at temperature 200°C. It cools in air by convection and radiation. The temperature T of the sphere is governed by the equation

where ρ is the density of copper, C its specific heat, V0 the volume of the sphere, t the time, ε a property of the surface known as emissivity, σ a constant known as the Stefan–Boltzmann constant, T∞ the ambient temperature, A the surface area of the sphere, and h the convective heat transfer coefficient. The initial condition is as follows:

Using Heun’s method, without iteration, solve this differential equation to find the temperature variation with time, until the temperature drops below 50°C. Use the following values:

Employ time steps of 0.5 and 1.0 min, and compare the results obtained in the two cases.

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Maurice Tutor
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Status NEW Posted 13 Jul 2017 08:07 PM My Price 12.00

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