Problem 1 A steel rod (thermal conductivity k-50 W/mK) 3 mm in diameter and 10 cm...

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Problem 1 A steel rod (thermal conductivity k-50 W/mK) 3 mm in diameter and 10 cm long is initially at a uniform temperature of 200C. At t=0 it is suddenly immersed in a fluid having h=50 W/mK and T-40C while one end is kept at 200C. Using the explicit finite difference scheme determine the temperature distribution after 100s. The properties of steel are density p=7800 Kg/m and specific heat C=0.47 kJ/kgK. Using the energy balance approach develop the explicit difference equations for the transient temperature in the fin and determine the allowable time step T=200C Too=40C h=50W/mK 1 2 3 To=200C Ax Ax Ax Ax Ax=2.5 cm Problem 1 A steel rod (thermal conductivity k-50 W/mK) 3 mm in diameter and 10 cm long is initially at a uniform temperature of 200C. At t=0 it is suddenly immersed in a fluid having h=50 W/mK and T-40C while one end is kept at 200C. Using the explicit finite difference scheme determine the temperature distribution after 100s. The properties of steel are density p=7800 Kg/m and specific heat C=0.47 kJ/kgK. Using the energy balance approach develop the explicit difference equations for the transient temperature in the fin and determine the allowable time step T=200C Too=40C h=50W/mK 1 2 3 To=200C Ax Ax Ax Ax Ax=2.5 cm