L OUISIANA T ECH U NIVERSITY BIOMEDICAL ENGINEERING Turbulent Flat-Plate Flow *P7.34 Sarah Jeffords Travis King Scott Laura Eric Post
L OUISIANA T ECH U NIVERSITY BIOMEDICAL ENGINEERING PROBLEM ASSUMPTIONS DIAGRAM SOLUTION APPLICATIONS QUESTIONS A thin equilateral-triangle plate is immersed parallel to a 12 m/s stream of water at 20°C. Estimate the drag of the plate. 2 m
L OUISIANA T ECH U NIVERSITY BIOMEDICAL ENGINEERING Re tr = 5 x 10 5 Laminar, tubulent flat-plate flow Laminar leading edge 2-dimensional flow Constant temperature Constant viscosity Constant density PROBLEM ASSUMPTIONS DIAGRAM SOLUTION APPLICATIONS QUESTIONS
L OUISIANA T ECH U NIVERSITY BIOMEDICAL ENGINEERING 30°-60°-90° triangle 1 m 2 m 60° 30° √3 m PROBLEM ASSUMPTIONS DIAGRAM SOLUTION APPLICATIONS QUESTIONS
L OUISIANA T ECH U NIVERSITY BIOMEDICAL ENGINEERING According to Table A.1 at 20°C Calculate Reynolds Number → Turbulent PROBLEM ASSUMPTIONS DIAGRAM SOLUTION APPLICATIONS QUESTIONS
L OUISIANA T ECH U NIVERSITY BIOMEDICAL ENGINEERING Reynolds Transition Number Laminar Leading Edge Coefficient of Drag PROBLEM ASSUMPTIONS DIAGRAM SOLUTION APPLICATIONS QUESTIONS
L OUISIANA T ECH U NIVERSITY BIOMEDICAL ENGINEERING Drag → PROBLEM ASSUMPTIONS DIAGRAM SOLUTION APPLICATIONS QUESTIONS
L OUISIANA T ECH U NIVERSITY BIOMEDICAL ENGINEERING Blood flow restrictions –Atherosclerosis Plaque build-up and break-off in arteries Balloon catheter and stint for angioplasty –Sickle-cell disease Red blood cell grouping and blockage –Central line Wire with triangular barbed end for insertion Drag caused by barbed wire PROBLEM ASSUMPTIONS DIAGRAM SOLUTION APPLICATIONS QUESTIONS
L OUISIANA T ECH U NIVERSITY BIOMEDICAL ENGINEERING Sensors –Determine flow rate of fluid over sensor –Sensitivity to turbulence, velocity, and viscosity Birth Control –Flow restriction of “sponge” from vaginal orifice to cervix Kidney stones –Crystals obstruct flow of nephrons to urethra PROBLEM ASSUMPTIONS DIAGRAM SOLUTION APPLICATIONS QUESTIONS
L OUISIANA T ECH U NIVERSITY BIOMEDICAL ENGINEERING Questions? PROBLEM ASSUMPTIONS DIAGRAM SOLUTION APPLICATIONS QUESTIONS