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CHEMICAL ENGINEERING ( Heat and mass ) Calculate the cooking time ( in mins ) required to raise the temperature at any point half the

CHEMICAL ENGINEERING (Heat and mass)
Calculate the cooking time (in mins) required to raise the temperature at any point half the radius of an 8-cm-diameter dumpling by 107K. The initial temperature of 20 deg C is uniform. The dumpling is heated with flowing steam at 750K and 0.1 MPa and velocity of 100 cm/s The dumpling's heat capacity, density, and thermal conductivity are estimated to be 3,500 J/(kg.K); 1,000 kg/m3; and 0.5 W/(m.K), respectively.
Assume that the Nusselt correlation (Perry's Handbook) for the shape closest to a dumpling at isothermal surface condition in this problem is valid.
**Consider the average temperature of the initial and final temperature of the surface as the constant surface temperature T, for the Nusselt calculation.

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