Introduction
Prathibhaasan

Cash prizes worth 10000 INR to be won!

Want to quench your thirst as an engineer and see how all the hypothesis would work in reality?  “Pratibhaasan” gives you the chance to exactly do that. Solve at least one of the given problem statements and awe the power of the computation as a core engineer.  Simulation is a 'price-less' tool that can used to modify and build anything and everything.


This event is completely online and accessible from any part of the world.

Registrations are now open. Click here to register.   

 

Event Format

The event consists of 3 problem statements. Its fully on-line. A team of  maximum 2 participants can solve at least one and at max all the three problem statements and submit it to us using any software you deem fit or with basic coding.  Each problem statement will be evaluated separately. The problem statements will cover a variety of core engineering topics. The problems will be ranked separately and there would be prizes for individual problems. You will have to mail the solution with a description of how the solution was arrived and the complete source file.

For any queries regarding uploading the solutions, send an e-mail at:
Formula: 0

Question ONE

An application of the fluid dynamic model to traffic flow is represented by a bottleneck, i.e. a road with different fluxes. Consider the road of length 2 km. The two different flux function on the road are represented by:

f1 = f(ρ) = ρ(1-ρ^2) for ρ in [0,1]
f2 = f(ρ) = ρ(1-3/2ρ^2) for ρ in [0,(2/3)]
where ρ is the density.

The maximization of f1 and f2 is performed following rules:

f1max(ρ) = f1(ρs) if ρs<=S1
f1(S1) if ρs>=1
where ρs is the density on the left of the separation between two parts of the road and S1 is the maximum flux for the wide section.

f2max(ρ) = f2(S2) if ρd<=S2
f2(ρd) if ρd>=sqrt(2/3)
where ρd is the density on the right of the separation between two parts of the road and S2 is the maximum flux for the narrower section.

The intersection point between the two intervals is obtained by taking the minimum G = min {f1max(ρs),f2max(ρd)}

Find the density profile at time t=30 min considering time step of 10 sec. The flux changes at L=1 km.

Question TWO

You might have done a simple experiment involving a weight on the end of a string. Here is a practical application. Use simple Physics to solve it.

A crane manufacturer wants to know how his newly designed crane is going to behave in a high wind. He wants to know the oscillation frequencies of a steel wire with and without masses on the end. Now calculate the mode of oscillation and the frequencies assosiated.

  • The wind velocity is 30 km/hr.
  • The mass of the object to be lifted is 2 tonnes.
  • Crane type used is Mobile Crane.
  • The length of the fly used is 8 m and the radius is 5 cm.
Question THREE

A train carrying gaseous toxic material (density = density of air ) is travelling north at a speed of 80km/hr. Wind is blowing at 10km/hr north east. Find the concentration profile of the toxic material in atmosphere after time t = 5 min. Pressure is atmospheric pressure and temperature is T = 300K.

Rules and Regulations
  • Candidates should submit the solutions in a .pdf file containing the algorithm used / method by which the solution was arrived at. The pdf file should contain all the necessary analysis and graphs as per demand of the problem statement.
  • Final result will be the last solution submitted before Pragyan's Second Day (2359 IST).
  • Candidates have to send the source file of their work and the details on how the simulation was carried out.
  • In case of using any programming language, candidates should clearly mention the compiler specifications and source files will only be evaluated. No executables will be evaluated.
  • Candidates should be at least 18 years of age.
  • The license which the candidate might opt for his work is the candidates choice.
  • No modification will be done to the source code / final file on our behalf.
  • Only registered people can participate in the event. 
Contacts

Sriram Ragav
+91 98941 04209

Balkrishna Patankar
+91 98946 12089

Formula: 1

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