Post-doctoral position on Turbulence in Polymer Solutions

A one year post-doctoral position is available at Nordita to work on a project "Turbulence in polymer solutions". The position is supported by the Swedish Research Council. The successful candidate shall work under the supervision of Dhrubaditya Mitra.

The project is a collaboration between Dhrubaditya Mitra at Nordita and Luca Brandt at the Linné Flow Center at Stockholm and the experimental group of Victor Steinberg. Victor Steinberg at the Weizmann Institute. We also have close connections with the group of Axel Brandenburg at Nordita.

Qualification

PhD degree in fluid mechanics or related fields. The candidate must have received the degree by the time of joining. Precedence will be given to applicants who have less than five years of post-doctoral experience at the time of application.

Duration:

One year. It may be possible to have an extension for a second year. The position will start in the Summer of 2012.

Application

The applications should include a curriculum vitae together including a list of publications, 2 letters of recommendation, and a short research plan along the scientific topic of the project. The application deadline is 31 March 2012. Applications should be filed though our web interface http://apps.nordita.org/. In exceptional cases, you may also send your application via e-mail to dhruba.mitra@gmail.com.

Scientific Summary

We study two related turbulent phenomena in flows of dilute polymer solutions. The first is turbulent drag reduction : the drag of a turbulent pipe flow can be reduced by several factors on addition of few parts-per-million polymers. The second, elastic turbulence : dilute polymer solutions at very small Reynolds number can nevertheless become chaotic with a power-law energy spectrum if the polymers have characteristic time scale which is large compared to that of the the fluid (Weisenberg number >> 1).

We shall use direct numerical simulations of the constitutive equations (Navier--Stokes equation with additional equations for polymeric degrees of freedom ), modeling the polymers in both Eulerian or Lagrangian framework. We shall develop and implement new algorithms to model the elastic stresses due to the polymer in the Lagrangian framework. Our model shall be first applied to elastic turbulence and its onset and shall be compared against the recent experimental data. The following are some of the important question we attempt to answer:

  • How does certain random flows stretch polymers?
  • Is the exponent of energy spectrum found in elastic turbulence universal?
  • How do the elastic stresses depend on Reynolds number and Weisenberg number?
  • How does the onset of turbulent drag reduction depends on different parameters of the polymer solutions.
  • How does the elastic stress change the nature of turbulent boundary layers?

    NORDITA - The Nordic Institute for Theoretical Physics

    NORDITA was founded in 1957 as a Nordic institute in theoretical (atomic) physics on the premises of the Niels Bohr Institute at Copenhagen University and is since 2006 in Stockholm under the auspices of Stockholm University (SU) and the Royal Institute of Technology (KTH). NORDITA is located at the AlbaNova University Center, situated in the immediate vicinity of the two universities.



    Dhrubaditya Mitra 2011-10-14