Compare a straight tube and bent tube boiler with neat sketches while enlisting the advantages and disadvantages.
See Answer →How are the heat exchangers classified? Describe any one gas to liquid type heat exchanger.
See Answer →Derive the expression for shape factor for radiation emitting from a surface ‘i’ and reaching the surface ‘j’.
See Answer →Define the following:
a) Radiosity
b) Absorptivity
c) Reflectivity
d) Transmissivity
e) Spectral Intensity
Define the following dimensionless numbers
a) Nusselt number
b) Peclet number
c) Prandtl number
d) Rayleigh number
e) Reynolds number
Derive the expression for critical radius of insulation for a cylindrical tube and explain its significance.
See Answer →Derive the expression for overall heat transfer co-efficient.
See Answer →Derive the expression for thermal resistance for the composite plane wall shown in Figures given below. Assume area of cross-section to be ‘A’ for the Fig. a.
State Fourier’s law and explain the various terms in the expression for Fourier’s law. Also give its features.
See Answer →Enlist the aims of studying heat transfer and describe its various applications.
See Answer →Let be a probability space and
be a sequence of independent and identically distributed (i.i.d.) random variables from the uniform distribution on the interval
. If
denotes the sample mean of the first n random variables of the sequence
, and
Find the value of
.
Prove that every non-trivial subgroup of a cyclic group has finite index. Hence prove that is not cyclic.
Which of the following statements are true? Give reasons for your answers.
i) If a group G is isomorphic to one of its proper subgroups, then G =
ii) Ifx and y are elements of a non-abelian group such that
then
where is the identity of G with respect to
iii) There exists a unique non-abelian group of prime order.
iv) If where A is a group, then
v) If H and K are normal subgroups of a group G, then
c) Evaluate
Find the points of inflexion of the curve . Also, show that they lie on a straight line.
Find the slope of the normal to the curve
c) Evaluate
Find the least value of where
If the first three non-zero terms of Maclaurin’s series for sin x are used to approximate sin show that the error is less than 1/50.
c) Find the perimeter of the cardioid