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In deriving Bernoulli's equation , we equated the work done on the fluid in the tube to its change in the potential and kinetic energy. (a) What is the largest average velocity of blood flow in an artery ofdiameter 2xx10^(-3)m ifthe flow must remain laminar ? (b)Do thedissipative forcebecome more important as the fluid velocity increases ?Discuss quanlitatively .

Answer» <html><body><p></p>Solution :Diameter of artery `d=<a href="https://interviewquestions.tuteehub.com/tag/2xx10-1840192" style="font-weight:bold;" target="_blank" title="Click to know more about 2XX10">2XX10</a>^(-3)m`<br/>The coefficient of viscosity of blood `eta=2.084xx10^(-3)`PaS<br/>Density of blood `rho=1.06xx10^(3)kg//m^(3)`<br/><a href="https://interviewquestions.tuteehub.com/tag/suppose-656311" style="font-weight:bold;" target="_blank" title="Click to know more about SUPPOSE">SUPPOSE</a> , Reynold.s numberfor <a href="https://interviewquestions.tuteehub.com/tag/linear-1074458" style="font-weight:bold;" target="_blank" title="Click to know more about LINEAR">LINEAR</a> flow , <br/>`R_(e)=2000`<br/>Maximum average velocityof blood,<br/>`v_("avg")=(R_(e)eta)/(rhoD)=(2000xx2.084)/(1.06xx10^(3)xx4xx10^(-3))`<br/>`=0.98m//s`<br/> (b)Volume of fluid passing per second, `Q=av_("arg")`<br/>`=(pi^(r2))v_("avg")`<br/>`=(22)/(7)xx(2xx10^(-3))^(2)xx0.98`<br/>`=1.23xx10^(-<a href="https://interviewquestions.tuteehub.com/tag/5-319454" style="font-weight:bold;" target="_blank" title="Click to know more about 5">5</a>)m^(3)s^(-1)`<br/>As per fluidvelocity increases , the dissipative forces become more important . This is because of the rise of turbulence . Turbulent flow causes dissipative loss in a fluid.</body></html>


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