Journal
JOURNAL OF CENTRAL SOUTH UNIVERSITY
Volume 26, Issue 5, Pages 1283-1293Publisher
JOURNAL OF CENTRAL SOUTH UNIV
DOI: 10.1007/s11771-019-4087-6
Keywords
Cu-C6H9NaO7; Ag-C6H9NaO7; shrinking surface; dual solution; stability analysis; nanofluid
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Funding
- Universiti Utara Malaysia (UUM)
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Model of Casson nanofluid flow over a nonlinear shrinking surface is considered. Model of Tiwari and Das is applied to nanofluid comprising of sodium alginate with copper and silver. The governing nonlinear equations incorporating the effects of the viscous dissipation are transformed into boundary value problems (BVPs) of ordinary differential equations (ODEs) by using appropriate similarity transformations. The resulting equations are converted into initial value problems (IVPs) using the shooting method which are then solved by Runge-Kutta method of fourth order. In order to determine the stability of the dual solutions obtained, stability analysis is performed and discovered that the first (second) solution is stable (unstable) and physically realizable (unrealizable). Both the thickness of the thermal boundary layer as well as temperature increase when the Casson parameter () is increased in the second solution.
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