APPLICATION OF VARIATION OF THE PARAMETERS METHOD FOR MICROPOLAR FLOW IN A POROUS CHANNEL

Gungor O., ARSLANTÜRK C.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, cilt.19, sa.1, ss.17-29, 2020 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 19 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.17512/jamcm.2020.1.02
  • Dergi Adı: JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.17-29
  • Anahtar Kelimeler: micropolar flow, porous channel, variation of parameters method, LAMINAR-FLOW, FLUID, SUCTION
  • Atatürk Üniversitesi Adresli: Evet

Özet

This work devoted to study the injective micropolar flow in a porous channel. The flow is driven by suction or injection on the channel walls, and the micropolar model is used to characterize the working fluid. The governing nonlinear partial differential equations are reduced to the nonlinear ordinary coupled differential equations by using Berman's similarity transformation. These equations are solved for large mass transfer via variation of parameters method (VPM) which has been used effectively in the solution of nonlinear equations recently. This method has not previously been applied to a problem of micropolar flow. The results of the variation of parameters method are found to be in excellent agreement with the results of the Matlab bvp4c solver (NUM). With this validity, the effects of the some important parameters on the velocity and rotation profile of micropolar flow are discussed in detail. It can be seen that increases in the values N-1 and N-3 have different results in comparison with N-2 increasing.