Problem 1: A cone-plate viscometer is a device used to measure a fluid's viscosity.The torque M required to turn a cone-plate viscometer depends on the angularvelocity, the radius R, the cone angle and the viscosity of the test fluid μ:M = f(Q,R,0,µ) (it is assumed that inertial effect is negligible; thus the torque doesnot depend on the fluid's density). Make this torque relation dimensionless (notethat the angle is dimensionless).0Ωq.RFluid

Solution; The toque M is given as: M=f(Ω,R,θ,μ) here, Ω is the angular velocity with unit rad/s and…

Answered: Problem 1: A cone-plate viscometer is a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Can i get the answer as an image i cant see the hold write up Tried using my laptop same issue
n = Xe()r -------Equation 1 where X = 1.7419 and (E/R) = -0.018 are constants for a given fluid. You are required to carry out appropriate calculations on the effect of changes in temperature given in table A by using equation 1 for Ethanol on the viscosity of a fluid. Table A NO Temperature viscocity n T°C cP 10 3 20 30 5 40 6. 50 7 60 8 70 In addition to this, calculate other constraints such as the variety of shear stress (T) and force due to fluid viscosity, when the two layers of different compressible Newtonian fluids are contained between two flat plates separated by a distance of 0.05m and fluid moving with the velocity of 2m/s in the horizontal direction. Assume the shear area between the fluid layers is 0.5m². To do this you required to explain, with examples, the effects of temperature and shear forces on Newtonian and non-Newtonian fluid. Also, explain the operation and constraints of different viscometers that quantify viscosity in fluids. 2.
f. A study of the physical characteristic of honey was conducted due to the large demand of royal jelly. A capillary tube viscometer was used by a researcher in determining the viscosity of the honey. The viscometer is 250 mm long with an outside diameter of 55mm and effective thickness of 2.5mm and was used horizontally so that the effect of gravity was neglected. At an ambient temperature of 30°C the following data were collected: Q (cc/s) 1.25 1.55 1.80 2.05 ДР (Ра) 10.0 12.5 15 17.5 20.0 2.55 What will be the stress produced per unit length in the tube used in the production of royal jelly if it has a radius of 5mm and a flow of 1 capsule per second. (1 capsule = 0.85 cc of royal jelly).
question 3d
b
B1. Determine the kinematic viscosity of the fluid between the plates as shown in Figure B1 given the following information: F = 5N h = 0.5mm v = 7m/s L=21 cm w = 10cm SG= 0.80 Moving plate Stationary plate Fluid Figure B1 V
Problem 3: A honeybee farmer wants to measure the absolute viscosity of his honey. You suggest dropping a 4mm steel ball into a container of honey and measure the time it takes for the ball to pass between two marks as shown. If the time is 13 seconds, what is the honey's viscosity. Assume the density of the honey is 1450 kg/m3 and the density of the steel ball is 7800 kg/m³. Honey 5 cm
Problem 6-1: The Reynolds number is an engineering parameter that relates to the volume flow rate of a fluid 4Q where vis πνd m² through a tube of diameter d as Red the fluid kinematic viscosity. Determine the Reynolds number and its uncertainty by general analysis given d = 50.4 ±0.1 mm, Q = 0.213 +0.005 S v = 0.999 × 10-6 ± 0.005 × 10-6 m². Which variable contributes the most to the overall uncertainty? Assume uncertainties are at 95 % confidence. S
(Dimensional Analysis) If the velocity V in a fluid flow depends on a dimension 1, the fluid density p, and the viscosity µ, show that this implies that the Reynolds number Vlp/µ is constant.
P2, µ2 2h P1 Po ρ1, μι L Figure 3: Two layer flow for (b) (b) Consider two immiscible (do not mix) fluid layers with different densities and viscosities which glide smoothly between two parallel horizontal walls, as shown in figure 3. Let pı and p2 be the densities and µ1 and µ2 be the viscosities of the two fluids, respectively. The flow is the result of an imposed constant pressure gradient, 2, similar to that of the Poiseuille flow. Assume a steady, incompressible, parallel viscous flow with p1 > P2 and µi > µ2- (i) Using the Navier-Stokes equations find the velocity profiles of both fluids. (ii) Ensure the fluid obeys the following conditions: The shear stress is continuous at the interface between the two fluids. • The velocity profile is continuous at the interface between the two fluids. No-slip boundary at the walls. (iii) Sketch the velocity profile. (iv) Determine where the maximum velocity occurs and explain why. (Hint: think about the respective viscosities and densities).…
The kinematic viscosity of and specific gravity of a liquid are 3.5 x 10-4 m^2 /s and 0.79, respectively. What is the dynamic viscosity of the liquid in N-s/m^2?
Problem 2 The apparatus sketched in the figure below serves as a viscometer i.e. it can be used to measure the viscosity of a liquid. In the drawing, D is a large reservoir containing a viscous liquid A and E is a cylindrical tube of radius R, open at both ends, surrounding and coaxial with B, which is a cylindrical "bob" of radius êR that is dragged up through the fluid by a frictionless pulley system (C) utilizing a weight W. Determine a design equation that relates the viscosity of the liquid to the geometry of the system and the weight W. Hint: you can assume that the length of the cylindrical tube is sufficiently long for the flow to reach steady state. W E D B

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