Dual nature solution of water functionalized copper nanoparticles along a permeable shrinking cylinder: FDM approach. (February 2019)

• Record Type: Journal Article
• Authors: Soomro, Feroz Ahmed; Zaib, Aurang; Rizwan Ul Haq, ; Sheikholeslami, M.
• Is Part Of: International journal of heat and mass transfer. Volume 129(2019)
• Page Start: 1242
• Page End: 1249
• Publication Date: 2019-02
• Subjects: Multiple solutions -- Mixed convection flow -- Slip effects -- Nanofluid -- Shrinking cylinder; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2018.10.051
• Languages: English
• ISSNs: 0017-9310

Abstract

Graphical abstract: Model is intended to describe the geometry of the model and variations of stream lines to describe the flow behavior. Highlights: Water based copper nanoparticles are deal the flow and heat transfer phenomena. Both thermal and velocity slip effects are considered at the surface of the cylinder. The model encounters buoyancy opposing and assisting flow regions via FDM approach. Variation of velocity and temperature profiles are presented in the form of dual nature solution. Abstract: Present framework is established to deal the characteristics of axisymmetric mixed convection flow with heat transfer of water based copper ( Cu -water) nanofluid along a porous shrinking cylinder with slip effects. The physical problem is modeled in the form of set of partial differential equations (PDEs) including conservation of mass, momentum and energy equations along with defined boundary conditions. Such PDEs are adapted to ordinary differential equations (ODEs) by utilizing similarity transformation technique. System of equations is emerged with the expressions of nanoparticle and based fluid. Numerical solution of governing ODEs is sought by using Finite Difference Method (FDM) against the range of several pertinent physical parameters. Base fluid (water) is analyzed in the presence of nanoparticles. The model encounters buoyancy opposing and assisting flow regions. Present study reveals that the solution in the assisting flow region is unique whereas multiple solutions exist in the opposing flow region. The results also indicate the existence of multiple solutions for certain amount of mass suction parameter. Moreover, increase in slip parameters and nanoparticle volume fraction enhances the range of suction parameter where the similarity solutions exist. It is further found that due to increase of nanoparticle volume fraction the skin friction increases whereas heat transfer rate decreases.