1. For flowing water, what is the magnitude of the velocity gradient needed to produce a shear stress of 1.0 Assignment 1 N/m2? u = 1.12x10-3 kg/m.s. Calculate the Reynolds numbers for the flow of water and for air through a 4-mm-diameter tube, if the mean velocity is 3 ms and the temperature 30°C is in both cases. Assume the air is at standard atmospheric pressure. 3. A 10-kg block slides down a smooth inclined surface as shown in 0.1 mm gap Fig. P1.64. Determine the terminal velocity of the block if the 0.1- gap between the block and the surface contains SAE 30 oil at 60 mm °F. Assume the velocity distribution in the gap is linear, and the area of the block in contact with the oil is 0.1 m2. 4. A layer of water flows down an inclined fixed surface with the velocity profile shown in Figure below. Determine the magnitude and direction of the shearing stress that the water exerts on the fixed surface for U= 2 m/s and h = 0.1 m. 2.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Meaning
Convective momentum-flux tensor
Viscous momentum-flux tensor
Molecular momentum-flux tensor
Combined momentum-flux tensor
po + 7+ pvv
= pô + 7
O =+ pvv
All these quantities are second-order tensors. Most of the time we will be dealing with
components of these quantities. For example the components of o are:
Px = TTx + pv,0x =p+ T+ pvv,x
xy
de = the combined flux of y-momentum across a surface perpendicular to the x
TT xy
pv Vy = Txy + pv,vy
direction by molecular and convective mechanisms.
Assignment 1
1.
For flowing water, what is the magnitude of the velocity gradient needed to produce a shear stress of Fhe
2.
Calculate the Reynolds numbers for the fow of water and for air through a 4-mm-diameter tube, if the mean
N/m2? µ = 1.12x10-3 kg/m.s.
velocity is 3 ms and the temperature 30°C is in both cases. Assume the air is at standard atmospheric pressure.
120
0.1 mm gap
3. A 10-kg block slides down a smooth inclined surface as shown in
Fig. P1.64. Determine the terminal velocity of the block if the 0.1-
mm gap between the block and the surface contains SAE 30 oil at 60
°F. Assume the velocity distribution in the gap is linear, and the area
of the block in contact with the oil is 0.1 m2.
4. A layer of water flows down an inclined fixed surface with the
velocity profile shown in Figure below. Determine the magnitude
and direction of the shearing stress that the water exerts on the fixed
surface for U = 2 m/s and h = 0.1 m.
TOUNG
Transcribed Image Text:Meaning Convective momentum-flux tensor Viscous momentum-flux tensor Molecular momentum-flux tensor Combined momentum-flux tensor po + 7+ pvv = pô + 7 O =+ pvv All these quantities are second-order tensors. Most of the time we will be dealing with components of these quantities. For example the components of o are: Px = TTx + pv,0x =p+ T+ pvv,x xy de = the combined flux of y-momentum across a surface perpendicular to the x TT xy pv Vy = Txy + pv,vy direction by molecular and convective mechanisms. Assignment 1 1. For flowing water, what is the magnitude of the velocity gradient needed to produce a shear stress of Fhe 2. Calculate the Reynolds numbers for the fow of water and for air through a 4-mm-diameter tube, if the mean N/m2? µ = 1.12x10-3 kg/m.s. velocity is 3 ms and the temperature 30°C is in both cases. Assume the air is at standard atmospheric pressure. 120 0.1 mm gap 3. A 10-kg block slides down a smooth inclined surface as shown in Fig. P1.64. Determine the terminal velocity of the block if the 0.1- mm gap between the block and the surface contains SAE 30 oil at 60 °F. Assume the velocity distribution in the gap is linear, and the area of the block in contact with the oil is 0.1 m2. 4. A layer of water flows down an inclined fixed surface with the velocity profile shown in Figure below. Determine the magnitude and direction of the shearing stress that the water exerts on the fixed surface for U = 2 m/s and h = 0.1 m. TOUNG
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