Natural Convection of Non-Newtonian Nanofluid Flow Between Two Vertical Parallel Plates in Uncertain Environment

  • U. BiswalEmail author
  • S. Chakraverty
  • B. K. Ojha
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


In this article, solution bounds for velocity and temperature of non-Newtonian nanofluid flow between two vertical flat plates due to natural convection have been investigated in uncertain environment. Governing differential equations of the titled problem contain a physical parameter, namely, nanoparticle volume fraction which is taken as uncertain in terms of interval. The considered problem has been solved by Galerkin’s method where Legendre polynomials are used to approximate the series solution. The terms in the assumed series solutions are orthogonalized by Gram–Schmidt orthogonalization process. The interval uncertainties are converted to crisp form by the help of parametric approach of intervals. The results obtained by proposed method are compared in special cases, viz., with the existing results and they are in good agreement.


Nanofluid Non-Newtonian nanofluid Galerkin’s method Legendre polynomial Gram–Schmidt orthogonalization 



The first author is thankful to the Council of Scientific and Industrial Research (CSIR), New Delhi, India for the support and funding to carry out the research work.


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© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  1. 1.Department of MathematicsNational Institute of Technology RourkelaRourkelaIndia

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