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Fluid Mechanics
Solved Practical Problems in Fluid Mechanics
96 SOLVED PROBLEMS
Question: 9.10
Non-Newtonian Pipe Flow 2 A gelatinous foodstuff is to be conveyed from a holding vessel to a packaging line along a 10-m straight pipe run using pressurised sterile air above the material as a propellant to provide a volumetric flow rate to the packaging line of 5 m³h^–1. Care is required in the ...
Verified Answer:
Assuming that the gelatinous foodstuff is non-Newt...
Question: 9.9
Non-Newtonian Fluid Flow A non-Newtonian fluid that can be described by a power law model for which n is 0.2 and k is 5 (kPa s)^n is to be pumped through a pipe of length 10 m and inside diameter of 20 mm. Determine the radius required for another pipe of 20 m in length to carry the fluid at the ...
Verified Answer:
The rate of flow for the non-Newtonian fluid is gi...
Question: 9.8
Non-Newtonian Pipe Flow 1 A non-Newtonian fluid flows under isothermal laminar flow conditions through a horizontal pipe. The pipe has an inside diameter of 20 cm and length of 5 m. If the shear stress of the non-Newtonian fluid can be described by the relationship τ = K(dUx/dr)² where K is ...
Verified Answer:
To determine the rate of flow, it is necessary to ...
Question: 9.7
Mixing of Non-Newtonian Fluids A mixing impeller with a diameter of 300 mm with an average shear rate (s^–1)- to-speed proportionality constant 28 was used to test a Newtonian liquid with a density of 1120 kgm^–3 and viscosity of 6.12 Nsm^–2 followed by testing a pseudoplastic fluid. The following ...
Verified Answer:
The power required for mixing is related to the re...
Question: 9.2
Cone-and-Plate Rheometer A viscous liquid is tested using a cone-and-plate rheometer that has a radius of 60 mm and cone angle of 2.5° for which the following data are obtained: ...
Verified Answer:
A cone-and-plate rheometer is an instrument used t...
Question: 9.5
Rheometer Data Analysis Test data were obtained from a rheometer for a non-Newtonian liquid. The data consist of the shear stress versus shear rate at a controlled temperature and pressure: ...
Verified Answer:
The data of shear stress versus shear rate present...
Question: 9.6
Extrusion of Polymers A polymer melt at 160°C with a relaxation time of 0.9 s is extruded through a circular die with a diameter of 5 mm. By extrusion through a die with a length of 10 mm, the polymer is found to swell to a diameter of 7 mm, whereas extrusion through a die with a length of 100 mm ...
Verified Answer:
The phenomenon of swelling is known as die swell. ...
Question: 9.4
Power Law Model Test data from a rheometer of several test fluids are considered to be described by the power law relationship: τ=kγ^n If the consistency parameter k for all the fluids is 0.01 (Nsm^–2)^n, illustrate the variation of shear stress with shear rate for values of n of 0.9, 1, and 1.1 ...
Verified Answer:
The calculation of the shear stress is given in Fi...
Question: 9.3
Couette Rheometer Rheological test data for a polymer fluid using a Couette rheometer involves gradually increasing the shear rate to 200 s^–1 (1) and measuring the shear stress, followed by gradually decreasing the shear rate and measuring the new stress (2). Identify the type and properties of ...
Verified Answer:
A Couette rheometer is an instrument used to measu...
Question: 8.8
Pneumatic Conveyor Describe the operation of a pneumatic conveyor. ...
Verified Answer:
Pneumatic conveying is the transportation of granu...
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