The erosion rate of a streambank is calculated by the excess shear stress equation: e=k(a-c) where...

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Mechanical Engineering

The erosion rate of a streambank is calculated by the excessshear stress equation: e=k(a-c) where e is the erosion rate in m/s,k is the erodibility coefficient in m^3/ N s, a is the appliedshear stress (Pa) and c is the critical shear stress (Pa). Theapplied shear stress is calculated using the equation a=dengdswhere den is the density of water (1000 kg/m^3), g is theacceleration due to gravity (9.8 m/s^2), d is the depth of water(m) and s is the bed slope (m/m). The critical shear stress is afunction of the silt and clay content of the streambank and iscalculated using the following equation:c=0.1+0.1779(SC%)+0.0028(SC%)2-2.34E-5(SC%)3 where SC% is thepercent of the streambank that is silt and clay. The erodibilitycoefficient is calculated using the equation k=0.20c^-0.5. Developa program in MATLAB that calculates the erosion rate of astreambank. The user should enter the following values: depth ofwater, bed slope and percent of silt and clay. The program shouldwrite out â€œThe erosion rate is:â€, the rate calculated and theunits. Test the program using the following: d=1, s=.001, SC=35 andd=0.1, s=.004, SC=50. Document the erosion rate. Paste all inputand output code into this Word document.

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Streambank erosion is known to be a significantsource of sediment in many impaired streams Simon et al 2000 Wilson et al 2008 Fox and Wilson 2010 Particle detachment models are oftenemployed to predict rates of streambank erosion due tofluvial processes within a basin Commonly the erosionrate of cohesive streambanks is simulated using the excessshear stress equation Partheniades 1965 Hanson 1990a1990b which is defined as ard c k 1where r is the erosion rate cm s1 kd is the erodibilitycoefficient cm3N1 s1 is the average hydraulic boundaryshear stress Pa c is the critical shear stress Pa and aisan empirical exponent commonly assumed to be unity Hanson 1990a 1990b Hanson and Cook 2004 Using thismodel erosion initiates once exceeds c and kd definestherate at which particles are detached after erosion isinitiatedIn order to See Answer

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