Heat and Mass Transfer in Metallurgy — Winter 2019

Define and classify fluids.

Explain Fick’s first law of diffusion and derive unit for diffusivity.

Derive differential equation of momentum balance (Equation of motion) in rectangular coordinate system.

Explain mass concentration, molar concentration, mass fraction & molar fraction.

Derive differential mass balance (Continuity Equation).

Derive differential equation for heat conduction in rectangular coordinate system.

What are different type of fluid flows? Explain them.

If max. velocity of fluid flowing through pipe of diameter 20cm is 5m/sec & shear stress required to create flow is 20 N/m2. Calculate dynamic viscosity of fluid. Consider velocity of fluid at wall is zero.

State Fourier law of heat conduction and derive units of thermal conductivity (k).

Derive Hagen-Poiseulle Equation for fluid flowing through pipe.

Calculate discharge of fluid flowing through pipe of 20 cm radius and 5 m/sec velocity.

For temperature difference of 200 0C for refractory thickness of 400 mm having thermal conductivity of 0.2 W/mK. Calculate heat flux.

What is convective heat transfer? Discuss different modes of convective heat transfer.

Determine temperature inside of furnace refractory wall of thickness 2000 mm having k= 0.15W/mK if outside temperature is 75 0C for heat flux of 100 W/m2.

Explain lambert’s law for radiative heat transfer.

From Euler’s equation, derive Bernoulli’s equation by integration.

What is mass transfer? Briefly explain different modes of mass transfer.

State Newton’s law of cooling and derive unit for coefficient of convective heat transfer (h).

Write note on Kirkindall effect.

For convective heat transfer condition if heat flux of 1500 W/m2 and temperature difference of 30 0C. Calculate co-efficient of convective heat transfer (h).

Asphere of diameter 10 mm and emissivity 0.9 is maintained at 80 0C inside oven with wall temperature of 400 0C. Calculate net heat transfer rate from oven wall to object.

What is emissive power, emissivity, black body, white body and gray body?

Briefly explain pseudo steady diffusion.

What is radiative heat transfer? How it is different than conductive & convective heat transfer?

State and explain plank’s law, wein’s law,