Essentials Of Materials Science And Engineering
4th Edition
ISBN: 9781337385497
Author: WRIGHT, Wendelin J.
Publisher: Cengage,
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Question
Chapter 10, Problem 10.81P
Interpretation Introduction
Interpretation:
The method of removal of microsegregation is to be explained.
Concept Introduction:
Microsegregation is the nonuniform composition of the material formed between small dendrite arms over short distances due to nonequilibrium solidification. It is also known as interdendritic segregation or coring.
The crystal centers (dendrites) have higher melting point elements surrounded by regions of lower melting point elements. This results in the difference in the composition and properties of the solid phase from one region to other causing poor properties of the casting.
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We consider a laminar flow induced by an impulsively started infinite flat
plate. The y-axis is normal to the plate. The x- and z-axes form a plane parallel
to the plate. The plate is defined by y = 0. For time t <0, the plate and the flow
are at rest. For t≥0, the velocity of the plate is parallel to the 2-coordinate;
its value is constant and equal to uw. At infinity, the flow is at rest. The flow
induced by the motion of the plate is independent of z.
(a) From the continuity equation, show that v=0 everywhere in the flow and
the resulting momentum equation is
მu
Ət
Note that this equation has the form of a diffusion equation (the same form as
the heat equation).
(b) We introduce the new variables T, Y and U such that
T=kt, Y=k/2y, U = u
where k is an arbitrary constant. In the new system of variables, the solution
is U(Y,T). The solution U(Y,T) is expressed by a function of Y and T and the
solution u(y, t) is expressed by a function of y and t. Show that the functions are
identical.…
2 A1
t=0
FIGURE 8.20
2 Ω
w
8 Ω
ic
0.4 H
PRACTICE
8.7 At t = 0.15 s in the circuit of Fig. 8.20, find the value of (a) i;
(b) i₁; (c) i2.
Ans: 0.756 A; 0; 1.244 A.
000
Chapter 10 Solutions
Essentials Of Materials Science And Engineering
Ch. 10 - Prob. 10.1PCh. 10 - Prob. 10.2PCh. 10 - Prob. 10.3PCh. 10 - Prob. 10.4PCh. 10 - Prob. 10.5PCh. 10 - Prob. 10.6PCh. 10 - Prob. 10.7PCh. 10 - Prob. 10.8PCh. 10 - Prob. 10.9PCh. 10 - Prob. 10.10P
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