A Study on the Wilkins and Forchheimer Equations used in Coarse Granular Media Flow

Banerjee, A.; Pasupuleti, S.; Singh, M. K.; Kumar, G. N. P.

doi:10.1007/s11600-017-0102-1

Artykuł - szczegóły

Tytuł artykułu

A Study on the Wilkins and Forchheimer Equations used in Coarse Granular Media Flow

Autorzy

Banerjee A. , Pasupuleti S. , Singh M. K. , Kumar G. N. P.

Wybrane pełne teksty z tego czasopisma

https://www.springer.com/journal/11600

Identyfikatory

DOI

10.1007/s11600-017-0102-1

Warianty tytułu

Języki publikacji

Abstrakty

Complexity of the pore geometry and the random nature of flow velocity make it difficult to predict and represent post laminar flow through porous media. Present study experimentally investigates the applicability of Forchheimer and Wilkins equations for post laminar flow where Darcy’s law is invalid due to predominant inertial effect. It is observed that both porosity and media size have significant influence over the coefficients of the Forchheimer coefficients. To incorporate the effect of porosity and media size, behaviour of Forchheimer coefficients are investigated with hydraulic radius as characteristic length. An inversely proportional variation trend is found for all the present and earlier reported data. A new empirical relation between Forchheimer coefficients and hydraulic radius is obtained which can be universally applicable for all media size and porosity. Coefficients of the Wilkins equation are found to be non-deviating for different hydraulic radius in the present study and in the reported literature validating its applicability in predicting the non laminar flow through porous media. Further the Wilkins equation is modified after incorporating the correction factors for better applicability on the field.

Słowa kluczowe

Forchheimer equation Wilkins equation non-laminar flow porous media

równanie Forchheimera równanie Wilkinsa

Wydawca

Instytut Geofizyki PAN
Springer

Czasopismo

Acta Geophysica

Rocznik

2018

Tom

Vol. 66, no. 1

Strony

81--91

Opis fizyczny

Bibliogr. 44 poz.

Twórcy

autor

Banerjee A.

ashes742@gmail.com

Department of Civil Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad, India

autor

Pasupuleti S.

Department of Civil Engineering, Indian Institute of Technology (Indian School of Mines), Dhanbad, India

autor

Singh M. K.

Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, India

autor

Kumar G. N. P.

Department of Civil Engineering, SVU College of Engineering, Sri Venkateswara University, Tirupati, India

Bibliografia

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Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018)

Typ dokumentu

Bibliografia

Identyfikator YADDA

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