4) (a) Consider a steel sphere (ρ=1.25 g/cc and Cp=0.8cal/g∘c) at 100∘c of radius 4 cm, this is dipped into 500ml of wa
Posted: Thu Jul 14, 2022 3:33 pm
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4) (a) Consider a steel sphere (ρ=1.25 g/cc and Cp=0.8cal/g∘c) at 100∘c of radius 4 cm, this is dipped into 500ml of water at 40∘c. in a vessel which is completely insulated, what is the equilibrium temperature inside the vessel. Neglect spatial gradients in both the sphere and the fluid. (Heat transfer rate UA between the sphere and the fluid is 2000cal/s0c.) (4M) (b) Classify the second order partial differential ∂x2∂2u+∂y2∂2u+2(a−1)∂x∂yu∂2u=∂x∂u+sinx (3M) Based on the value of 'a'. (7M)