Develop algorithms for explicit solution of kinematic eqtns

Assignment Help Civil Engineering
Reference no: EM13313459

Develop algorithms for the explicit solution of the Kinematic Equations when applied to a problem of runoff from a plane surface subject to a steady rate of rainfall excess. Use forward differences in the time (t) direction and backward differences in the x direction.

The initial and boundary conditions are:


- Initial condition (t=0): q=0 and y=0 for all x

- Upstream boundary (x=0): q=0 for all t

- Downstream boundary (x=L): S0=Sf

Develop the equations for the solution q, v, y as follows:

(a) In the main body of the x-t solution space using central differences.

(b) At the upstream boundary using forward differences for the spatially variant terms.

Reference no: EM13313459

Questions Cloud

Explain use the equilibirum approach to calculate the ph : Calculate the pH of a buffer solution that is 0.250 M in HCN and 0.170 M in KCN. For HCN, Ka = 4.9 x 10^-10 (pka = 9.31). Use the equilibirum approach to calculate this pH
Calculate the head loss with a roughness height : A galvanized iron pipe with a roughness height (e) of 5x10-6 m with a diameter (D) of 0.05 m and a length (L) of 100 m carries a discharge (Q) of 0.003 m3/s. Calculate the head loss (hL).
Discuss the various systems and company strategic vision : Discuss the various systems and the company's strategic vision. You also meet with the heads of Marketing, Travel & Tourism, and Technology to gather their initial thoughts for the site improvements.
Determine thickness of viscous sublayer in a smooth pipe : Determine the thickness of the viscous sublayer in a smooth 20 cm diameter pipe, if the Reynolds number is 25000.
Develop algorithms for explicit solution of kinematic eqtns : Develop algorithms for the explicit solution of the Kinematic Equations when applied to a problem of runoff from a plane surface subject to a steady rate of rainfall excess.
What are the ethical issues in case : Case study - "The BP Oil Spill and Mental Health" What are the ethical issues in case and who are the stakeholders and how are they impacted by this situation
What would be the absolute pressure of carbon dioxiode : What would be the absolute pressure, P in kPa, of carbon dioxiode at 20 degrees celcious if the specific weight of carbon dioxide at 20 degrees celcious is 18 N/m^3 and the gas constant, R =1.889x10^2 J/kg*K.
Explain the equilibirum approach to calculate the ph : Need some assistance: 2a) Calculate the pH of a buffer solution that is 0.250 M in HCN and 0.170 M in KCN. For HCN, Ka = 4.9 x 10^-10 (pka = 9.31). Use the equilibirum approach to calculate this pH
What is the concentration of cod in the effluent : The maximum specific growth rate of the organisms driving this reaction is 5.0 days -1 and the growth rate is 0.54 day-1. The activated sludge tank has a volume of 40 m3 and the flow rate into it is 400 m3/day.

Reviews

Write a Review

Civil Engineering Questions & Answers

  What are the total delay and the average delay per vehicle

Assuming D/D/1 queuing, when does the initial queue clear and what are the total delay, the average delay per vehicle, longest queue length (in vehicles), and the wait time of 100th vehicle to arrive (assumin first-in-first-out)

  What is the total bod loading per day

The factory will use a 4 ft deep on-site lagoon to stabilize the waste with a loading rate of 20 lb BOD/acre-day. Part a) What is the total BOD loading per day?

  How much energy do methanogenic bacteria get from h2

How much energy do methanogenic bacteria get from using glucose and hydrogen (H2) to form methane and water as the products. Determine the net reaction (assume methane and water are the only products).

  Determine annual volume of solid waste produce by source

the bailey stone works employs six people. assumming that the density of uncompacted waste is 480 kg/m^3, determine the annual volume of solid waste produce by the stone works assumming a waste generation rate of 1 kg/cap*d.

  Compute the cars stopping distance and time

at s=0 the driver applies the brakes hard enough to cause the car to skid. Assume that the car keeps sliding until it stops, and assume that throughout this process acceleration is a= -7.4556. compute the car's stopping distance and time.

  Explain how to design for bending only using lrfd

A simply supported steel beam over a 24-ft span carries a uniformly distributed dead load of 2 k/ft, including an allowance for the self-weight, and a live load of 3.5 k/ft. The steel is A992, Grade 50.

  Determine the minimum possible area of the metal plate

A circular hole of diameter 11.42 + and - 0.03 inches is cut out of the plate. Also, using the tolerances given, determine the minimum possible area of the top surface of the metal plate.

  What is the maximum grade the vehicle could ascend

the engine develops a maximum torque of 210ft-lb at 3600 rev/min. what is the maximum grade this vehicle could ascend, on a paved surface, while the engine is developing maximum torque (assume that the available tractive effort is the engine-gener..

  Determine what is the rotational velocity at the instant

A fan blade, initially at rest, rotates with a constant rotational acceleration of 0.9rad/s^2. What is its rotational velocity at the instant it goes through an rotational displacement of 5 radians

  Define the term coefficient of permeability

How would you define the coefficient of permeability? Give typical values of the coefficient for: a) fresh cement pastes; b) hardened cement pastes; c) commonly used aggregates;

  Determine the maximum temperature in the tank

Determine the maximum temperature in the tank. Take the thermal conductivity of the wastes as 2.0 W/mK.

  When will the queue clear

where u(t) is in vehicles per minute and t is in minutes. When will the queue clear?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd