Buoyancy effects in stagnation-point flow of Maxwell fluid utilizing non-Fourier heat flux approach

Here we utilize a non-Fourier approach to model buoyancy aiding or opposing flow of Maxwell fluid in the region of stagnation-point towards a vertical stretchable surface. Flow field is permeated by uniform transverse magnetic field. Two different heating processes namely (i) prescribed surface temp...

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Bibliographic Details
Published in:PloS one 2018-05, Vol.13 (5), p.e0192685-e0192685
Main Authors: Mushtaq, Ammar, Mustafa, Meraj, Hayat, Tasawar, Alsaedi, Ahmed
Format: Article
Language:English
Subjects:
Boundary layers
Buoyancy
Buoyancy effects
Chemical reactions
Comparative studies
Cooling
Flow
Fluid flow
Fourier analysis
Heat flux
Heat transfer
Hot Temperature
Hydrodynamics
Interaction parameters
Magnetic fields
Magnetic induction
Mathematical models
Mathematics
Maxwell fluids
Models, Theoretical
Momentum transport
Non-Newtonian fluids
Numerical analysis
Penetration depth
Physical Sciences
Prandtl number
Relaxation time
Stagnation
Stretching
Surface temperature
Temperature
Temperature effects
Thermal boundary layer
Thermal relaxation
Thin films
Velocity
Viscoelasticity
Viscosity
Wall temperature
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Summary:Here we utilize a non-Fourier approach to model buoyancy aiding or opposing flow of Maxwell fluid in the region of stagnation-point towards a vertical stretchable surface. Flow field is permeated by uniform transverse magnetic field. Two different heating processes namely (i) prescribed surface temperature (PST) and (ii) constant wall temperature (CWT) are analyzed. Through suitable transformations, the similarity equations are formed which are treated numerically for a broad range of magnetic interaction parameter. The obtained solutions are compared with available articles under limiting situations and such comparisons appear convincing. The structure of boundary layer depends on a parameter measuring the ratio of free stream velocity to the stretching sheet velocity. The momentum transport via stretching boundary is opposed by both fluid relaxation time and magnetic interaction parameter. Thermal boundary layer expands as the effects of transverse magnetic field and thermal relaxation time are amplified. A reduction in heat penetration depth is anticipated for increasing values of thermal relaxation time. The variation in wall slope of temperature with increasing thermal relaxation time appears similar at any assigned value of Prandtl number. A comparative study of aiding and opposition flow situations is presented and deliberated.
ISSN:1932-6203
1932-6203
DOI:10.1371/journal.pone.0192685