Biofluid Mechanics 1st. Edition by David Rubenstein, Wei Yin and Mary D. Frame | 9780123813831 | 123813832 | Holooly

Biofluid Mechanics

Biofluid Mechanics

44 SOLVED PROBLEMS

Question: 13.2

Determine all of the dimensionless groups possible to describe the drag force on a white blood cell, using Equation 13.23. ...

Verified Answer:

List the dimensional parameters: F

υ[/late...

Question: 13.1

Figure 13.9 demonstrates the drainage route of aqueous human based on John and Kamm’s model. Trabecular mesh was modeled as a porous elastic body, shown in the figure as springs. Schlemm’s canal is modeled in two dimensions, with the outer wall (top) and the inner wall (bottom) being parallel to ...

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First of all, we need to develop the mesh motion f...

Question: 11.4

Using the results obtained from the previous example, calculate the cartilage stress and the change in length of cartilage on the femoral head. Assume that the cross-sectional area of the cartilage is 150 cm², that the elastic modulus for cartilage is 25 MPa, and that the cartilage thickness is 1.5 ...

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\sigma = \frac{F}{A}= \frac{11,011 N}{150...

Question: 11.3

During normal motion (walking, jogging, or running), for some instant in time, all of our body weight is supported by one leg (see Figure 11.5). Typically, the leg is not completely vertical because of the way in which the femur connects to other bones (refer to Figure 11.6, the free-body diagram). ...

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First, let us draw a free-body diagram of the leg....

Question: 11.2

Calculate the force on the shoulder joint for an athlete who is holding a weight with the arm perfectly horizontal (see Figure 11.3). To calculate the reaction forces within the shoulder joint, consider that the weight of the arm is equal to 10 lbf and is located at a distance 1 ft from the ...

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First, let us draw a free-body diagram of the arm....

Question: 13.3

Imagine that we are making a model of blood flow through an artery; however, we could only use water as our fluid flowing through the model artery. Calculate what the angular frequency of the pulsatile waveform and the initial inlet velocity should be if the characteristic length (diameter) of the ...

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Using the Reynolds number, we can calculate the in...

Question: 12.2

A patient is currently connected to an extracorporeal device to remove the excess salt from his or her blood (see Figure 12.7). Imagine that the inflow blood contains 5 grams of salt and the blood inflow flow rate is 5 mL/min. The blood outflow rate is also 5 mL/min. The inflow rate of the ...

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First, set up the differential equations and the i...

Question: 12.1

Consider the reabsorption/metabolism of glucose within the nephron as modeled by a two-compartment system. Assume that the input of glucose into the nephron is constant and defined by K1. The output of glucose from the nephron can be described by the metabolism of glucose by the nephron epithelial ...

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The mass balance of glucose quantity can be define...

Question: 11.1

Calculate the time rate of change of proteoglycans within the synovial fluid, if their diffusion is only restricted by the presence of glycosaminoglycans (GAGs) within the synovial space. Assume that the molecular weight for the proteoglycan of interest is 300 kDa and its density is 1.45 g/mL. The ...

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First it will be necessary to calculate the effect...

Question: 10.1

Under a disease condition where the trabeculae become occluded, the intraocular pressure transiently increases by 5 mmHg. If the trabeculae occlusion is removed, which brings the flow resistance back to normal levels, what is the time required to bring the intraocular pressure back to within 5% of ...

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To solve this problem, we will need to solve the d...

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