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8/18/2019 MME-504RR
1/2
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02
of
Questions
08
M.Tech.(ME)
Sem._2)
COMPUTATIONAL
FLUID
DYNAMICS
I*
Subject
Code
MME_504
,;%J;
Paper
D
:
[E0429]
-
* ' , , . ' ' '
Time
3
Hrs.
Mil.
M*r.,
:
toO
*
:F '
INSTRUCTION
TO
CANDIDATES
:
,...'*.. ;
{ -,.x'
l. Attempt any FIVE questions. ,*' *1. :..t' l
2,
Atl
questions
arry
EeUAL
marks.
q
i
,
ir,a,*
.r,r.c.
*'lf'ul'-
1.
a)
what
are
different
gover4iiiq€{uations
used
or
solving
the
fluid
mechanics
nd
heat
ra rpre;yfr6blems?
rite
these
equations
n
cartesian
co-ordinates'.
lso.',
rite
different
oundary
onditions
used
or
solving
these
Boverning
grU$giohs.
u;
Exnlaiffi
t4d*fiT
turbulenceodelingndealing ithcFDproblems.
what
are'various
urburence
oders
sed
n
cFD
problems?
-
q'
d i-
2'
^)
)ffiW}.
different
methods
sed
or
solving
engineering
robrems?
;q$ry
their
rerative
merits
and
demerits.
what
are
differenr
steps
*{\Y lved
in
theoretical
modeling
f
a
physical
problem?
^\a
\#b)
Express
he
complete
Navier-stokes
quations
nd
derive
Bernoulli,s
equation
rom
t
explaining
he
assumptions
ade
n
the
process.
3
a)
Derive
he
finite
difference
expressionsor a secondorderderivative
with
forward,
backward
nd
central
difference
pproximations.
b)
Describe
n
brief
at Ieast
wo
techniques
hat
are
used
o
accelerate
the
convergence
f
the
solution
of
unsteady
uler's
equation
o
steady
state.
4
a)
Distinguish
etween
iscretization
nd
ound-off
errors.
compare
hem
with
suitable
examples.
lA-1211366
8/18/2019 MME-504RR
2/2
Describe
riefly
:
consistency,
onvergence
nd
stability
of
a
numerical
solution.
Explain
the
finite
difference
method
or
any
governing
equation
with
suitable
Cs.
5'
a)
using
Taylors
xpansion
erify
hat
he
cell
centred,fiqlteftgrume
discretization
ives
a
second
rder
accurate
artial
d.pti$A*,ivb
t o
::::::1T ::^:'r
a
se^cond
:'.d.'
ac
urate
;-#
b)
c)
point
in
2D
space
or
uniform
grid.
a'T
a2T
---:-
f
0x'
Ar'
t a
.,
-l.J'
i
+
O(h'?)
f lain
why,
n practice,
t
is
necessary
o
solve
or
the
rection
and
not
ust
the
velocity
corrections
n
order
pressure
to
satisfy
c)
8.
a)
b)
mass
conservation.
Describe
he
Tri-Diagonal
Matrix
Algorithm
for
solution
of
set
of
linear
algebraic
quations.
Describe
he
SIMpLE
pressure-correction
method
or
the
solution
of
coupled
mass
and
momentum
quations.
Explain,
briefly,
he
origin
of
the
odd-even
ecoupring
robrem
n
the
discrete
pressure
ield
that
may
occur
with
co-rocated
torage
f
velocity
and pressure
n
a
finite_volume
mesh.
b)
Show
that
forward
time
and
c
niii'
rr'$
wave
q
arion
es
rts
n
un,tuf
l:i:T:
:l,ff.ffi$.*,fi
':
Hl;
riterion
and
comment. ,. ,,d, * .
'
6'
a)
Verify
he
following
differen..
uppr&irJpo;
fo1
se
n
rwo
dimensions
at
the
point
(i,
j).
Assume
Ax
: 11y
ftd
l'*&r'\,
b)
Explain
he
at,fffi;C'1hods
with
suitable
xample
nd
give
heir
merits
nd
dgffi1f
:
r
)
Expricit
ethod
)
Irnpricii
ethod
)
semi_
impticiffirhffip
f rw
-/
L\ttpltvtl
rusrrlo(l
J/
Iteml.
rmpucrffi
7
r,
:ffi ,
trs
main
principres
f pressure-co*ection
methods
or
the
.
ffiFl
solution
f
the
ncompressible
luid-flow
quations.
lA-1211366
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