Unsteady Stagnation-Point Flow and Heat Transfer Over a Permeable Exponential Stretching/Shrinking Sheet in Nanofluid with Slip Velocity Effect: A Stability Analysis

A model of unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet with the presence of velocity slip is considered in this paper. The nanofluid model proposed by Tiwari and Das is applied where water with Prandtl number 6.2 has been chosen as the bas...

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Bibliographic Details
Published in:Applied sciences 2018-11, Vol.8 (11), p.2172
Main Authors: Dzulkifli, Nor, Bachok, Norfifah, Yacob, Nor, Md Arifin, Norihan, Rosali, Haliza
Format: Article
Language:English
Subjects:
Aluminum oxide
Boundary conditions
Boundary value problems
Coefficient of friction
Copper
Differential equations
exponential stretching/shrinking sheet
Flow stability
Fluids
Friction
Heat transfer
Heat transfer coefficients
Mathematics
nanofluid
Nanofluids
Nanoparticles
Ordinary differential equations
Permeability
Prandtl number
Skin
Skin friction
Slip velocity
Stability analysis
stagnation-point flows
Studies
Suction
Temperature profiles
Velocity
velocity slip effect
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Summary:A model of unsteady stagnation-point flow and heat transfer over a permeable exponential stretching/shrinking sheet with the presence of velocity slip is considered in this paper. The nanofluid model proposed by Tiwari and Das is applied where water with Prandtl number 6.2 has been chosen as the base fluid, while three different nanoparticles are taken into consideration, namely Copper, Alumina, and Titania. The ordinary differential equations are solved using boundary value problem with fourth order accuracy (bvp4c) program in Matlab to find the numerical solutions of the skin friction and heat transfer coefficients for different parameters such as stretching/shrinking, velocity slip, nanoparticle volume fraction, suction/injection, and also different nanoparticles, for which the obtained results (dual solutions) are presented graphically. The velocity and temperature profiles are presented to show that the far field boundary conditions are asymptotically fulfilled, and validate the findings of dual solutions as displayed in the variations of the skin friction and heat transfer coefficients. The last part is to perform the stability analysis to determine a stable and physically-realizable solution.
ISSN:2076-3417
2076-3417
DOI:10.3390/app8112172