Refer to the law of laminar flow, which states that v = -(R2 - r2). Consider a blood vessel with radius R = 0.01 cm, length / = 5 cm, pressure difference P = 2,850 dynes/cm2, and viscosity n = 0.026. (a) Find the velocity (in cm/s) of the blood along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r= R = 0.01 cm. (Round your answers to three decimal places.) r= 0 cm/s r= 0.005 cm/s r= 0.01 cm/s (b) Find the velocity gradient (in (cm/s)/cm) along the centerline r = 0 cm, at radius r= 0.005 cm, and at the wall r =R = 0.01 cm. (Round your answers to three decimal places.) r= 0 (cm/s)/cm r = 0.005 |(cm/s)/cm r = 0.01 |(cm/s)/cm (c) Where is the velocity the greatest? Or = 0 Or = 0.005 Or = 0.01 Where is the velocity changing most? Or= 0 Or = 0.005 Or = 0.01

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Refer to the law of laminar flow, which states that v =
4n/
-(R2 - r2). Consider a blood vessel with radius R = 0.01 cm, length / = 5 cm, pressure difference P = 2,850 dynes/cm2, and viscosity n = 0.026.
(a) Find the velocity (in cm/s) of the blood along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r = R = 0.01 cm. (Round your answers to three decimal places.)
r = 0
cm/s
r = 0.005
cm/s
r = 0.01
cm/s
(b) Find the velocity gradient (in (cm/s)/cm) along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r = R = 0.01 cm. (Round your answers to three decimal places.)
r = 0
(cm/s)/cm
r = 0.005
(cm/s)/cm
r = 0.01
(cm/s)/cm
(c) Where is the velocity the greatest?
Or = 0
Or = 0.005
Or = 0.01
Where is the velocity changing most?
Or = 0
Or = 0.005
Or = 0.01
Transcribed Image Text:Refer to the law of laminar flow, which states that v = 4n/ -(R2 - r2). Consider a blood vessel with radius R = 0.01 cm, length / = 5 cm, pressure difference P = 2,850 dynes/cm2, and viscosity n = 0.026. (a) Find the velocity (in cm/s) of the blood along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r = R = 0.01 cm. (Round your answers to three decimal places.) r = 0 cm/s r = 0.005 cm/s r = 0.01 cm/s (b) Find the velocity gradient (in (cm/s)/cm) along the centerline r = 0 cm, at radius r = 0.005 cm, and at the wall r = R = 0.01 cm. (Round your answers to three decimal places.) r = 0 (cm/s)/cm r = 0.005 (cm/s)/cm r = 0.01 (cm/s)/cm (c) Where is the velocity the greatest? Or = 0 Or = 0.005 Or = 0.01 Where is the velocity changing most? Or = 0 Or = 0.005 Or = 0.01
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