Fundamentals Of Thermal-fluid Sciences In Si Units
5th Edition
ISBN: 9789814720953
Author: Yunus Cengel, Robert Turner, John Cimbala
Publisher: McGraw-Hill Education
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Chapter 22, Problem 60P
To determine
The rate of heat transfer and the heat transfer area.
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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
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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.…
Part A: Suppose you wanted to drill a 1.5 in diameter hole through a piece of 1020 cold-rolled steel that is 2 in thick, using an HSS twist drill. What values if feed and cutting speed will you specify, along with an appropriate allowance?
Part B: How much time will be required to drill the hole in the previous problem using the HSS drill?
1.1 m
1.3 m
B
60-mm diameter
Brass
40-mm diameter
Aluminum
PROBLEM 2.52
-
A rod consisting of two cylindrical portions AB and BC is restrained at both
ends. Portion AB is made of brass (E₁ = 105 GPa, α = 20.9×10°/°C) and
portion BC is made of aluminum (Ę₁ =72 GPa, α = 23.9×10/°C).
Knowing that the rod is initially unstressed, determine (a) the normal
stresses induced in portions AB and BC by a temperature rise of 42°C, (b)
the corresponding deflection of point B.
Chapter 22 Solutions
Fundamentals Of Thermal-fluid Sciences In Si Units
Ch. 22 - Prob. 1PCh. 22 - Prob. 2PCh. 22 - Prob. 3PCh. 22 - What is the role of the baffles in a...Ch. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Prob. 9PCh. 22 - In a thin-walled double-pipe heat exchanger, when...
Ch. 22 - Prob. 11PCh. 22 - Prob. 12PCh. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Prob. 15PCh. 22 - Prob. 17PCh. 22 - Prob. 18PCh. 22 - Prob. 19PCh. 22 - Water at an average temperature of 110°C and an...Ch. 22 - Prob. 21PCh. 22 - Prob. 23PCh. 22 - Prob. 24PCh. 22 - Under what conditions is the heat transfer...Ch. 22 - Consider a condenser in which steam at a specified...Ch. 22 - What is the heat capacity rate? What can you say...Ch. 22 - Under what conditions will the temperature rise of...Ch. 22 - Show that the temperature profile of two fluid...Ch. 22 - Prob. 30PCh. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - Prob. 33PCh. 22 - Prob. 34PCh. 22 - Prob. 35PCh. 22 - Prob. 36PCh. 22 - Prob. 37PCh. 22 - Prob. 38PCh. 22 - Prob. 39PCh. 22 - A double-pipe parallel-flow heat exchanger is to...Ch. 22 - Glycerin (cp = 2400 J/kg·K) at 20°C and 0.5 kg/s...Ch. 22 - Prob. 43PCh. 22 - A single pass heat exchanger is to be designed to...Ch. 22 - Prob. 45PCh. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - A counter-flow heat exchanger is stated to have an...Ch. 22 - Prob. 49PCh. 22 - Prob. 51PCh. 22 - Prob. 52PCh. 22 - Prob. 54PCh. 22 - Prob. 56PCh. 22 - A performance test is being conducted on a...Ch. 22 - In an industrial facility a counter-flow...Ch. 22 - Prob. 59PCh. 22 - Prob. 60PCh. 22 - Prob. 61PCh. 22 - A shell-and-tube heat exchanger with 2-shell...Ch. 22 - A shell-and-tube heat exchanger with 2-shell...Ch. 22 - Repeat Prob. 22–64 for a mass flow rate of 3 kg/s...Ch. 22 - A shell-and-tube heat exchanger with 2-shell...Ch. 22 - A single-pass cross-flow heat exchanger is used to...Ch. 22 - Prob. 68PCh. 22 - Prob. 69PCh. 22 - Prob. 70PCh. 22 - Prob. 71PCh. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Under what conditions can a counter-flow heat...Ch. 22 - Prob. 75PCh. 22 - Prob. 76PCh. 22 - Prob. 77PCh. 22 - Prob. 78PCh. 22 - Prob. 79PCh. 22 - Prob. 80PCh. 22 - Prob. 81PCh. 22 - Consider an oil-to-oil double-pipe heat exchanger...Ch. 22 - Hot water enters a double-pipe counter-flow...Ch. 22 - Hot water (cph = 4188 J/kg·K) with mass flow rate...Ch. 22 - Prob. 85PCh. 22 - Cold water (cp = 4180 J/kg·K) leading to a shower...Ch. 22 - Prob. 89PCh. 22 - Prob. 90PCh. 22 - Prob. 91PCh. 22 - Prob. 92PCh. 22 - Prob. 93PCh. 22 - Prob. 94PCh. 22 - Prob. 95PCh. 22 - Air (cp = 1005 J/kg·K) enters a cross-flow heat...Ch. 22 - A cross-flow heat exchanger with both fluids...Ch. 22 - Prob. 98PCh. 22 - Prob. 99PCh. 22 - Oil in an engine is being cooled by air in a...Ch. 22 - Prob. 101PCh. 22 - Prob. 102PCh. 22 - Prob. 103PCh. 22 - Water (cp = 4180 J/kg·K) enters the...Ch. 22 - Prob. 105PCh. 22 - Prob. 106PCh. 22 - Prob. 107PCh. 22 - Prob. 109PCh. 22 - Consider the flow of saturated steam at 270.1 kPa...Ch. 22 - Prob. 111RQCh. 22 - Prob. 112RQCh. 22 - Prob. 113RQCh. 22 - A shell-and-tube heat exchanger with 1-shell pass...Ch. 22 - Prob. 115RQCh. 22 - Prob. 116RQCh. 22 - Prob. 117RQCh. 22 - Prob. 118RQCh. 22 - A shell-and-tube heat exchanger with two-shell...Ch. 22 - Saturated water vapor at 100°C condenses in the...Ch. 22 - Prob. 121RQCh. 22 - Prob. 122RQCh. 22 - Prob. 123RQCh. 22 - Prob. 124RQCh. 22 - Prob. 125RQCh. 22 - A cross-flow heat exchanger with both fluids...Ch. 22 - In a chemical plant, a certain chemical is heated...Ch. 22 - Prob. 128RQCh. 22 - Prob. 129RQCh. 22 - Prob. 130RQCh. 22 - Prob. 134DEP
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- For some viscoelastic polymers that are subjected to stress relaxation tests, the stress decays with time according to a(t) = a(0) exp(-4) (15.10) where σ(t) and o(0) represent the time-dependent and initial (i.e., time = 0) stresses, respectively, and t and T denote elapsed time and the relaxation time, respectively; T is a time-independent constant characteristic of the material. A specimen of a viscoelastic polymer whose stress relaxation obeys Equation 15.10 was suddenly pulled in tension to a measured strain of 0.5; the stress necessary to maintain this constant strain was measured as a function of time. Determine E (10) for this material if the initial stress level was 3.5 MPa (500 psi), which dropped to 0.5 MPa (70 psi) after 30 s.arrow_forwardFor the flows in Examples 11.1 and 11.2, calculate the magnitudes of the Δ V2 / 2 terms omitted in B.E., and compare these with the magnitude of the ℱ terms.arrow_forwardCalculate ℛP.M. in Example 11.2.arrow_forward
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