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  3. question 220 marks in total derive an expression for the...

Question: question 220 marks in total derive an expression for the...

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Question 2/20 Marks in Total Derive an expression for the time-constant for steady pressure driven flow to become established for a syringe pump connected to a circular microchannel of diameter d nt Lengtli t Start with the following equation for the flow vclocity in the syringe where U is the plunger velocity (the plunger is shown in black in the sketch above). The syringe is a circular glass tube of diameter D and length L. The axial velocity in the syringe as a function of x and time is given by u(x, t) dp r dr Reformulate this expression to arrve at the following espression of the Presure response uzdt DTC Identify the time constant in equation (22 110 Marksl

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