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Title: Flow and heat transfer at a nonlinearly shrinking porous sheet: the case of asymptotically large power-law shrinking rates
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Abstract:
The boundary layer flow and heat transfer of a viscous fluid over a nonlinear permeable shrinking sheet in a thermally stratified environment is considered. The sheet is assumed to shrink in its own plane with an arbitrary power-law velocity proportional to the distance from the stagnation point. The governing differential equations are first transformed into ordinary differential equations by introducing a new similarity transformation. This is different from the transform commonly used in the literature in that it permits numerical solutions even for asymptotically large values of the power-law index, m. ; The coupled non-linear boundary value problem is solved numerically by an implicit finite difference scheme known as the Keller- Box method. Numerical computations are performed for a wide variety of power-law parameters (1 < m < 100,000) so as to capture the effects of the thermally stratified environment on the velocity and temperature fields. The numerical solutions are presented through a number of graphs and tables. Numerical results for the skin-friction coefficient and the Nusselt number are tabulated for various values of the pertinent parameters.
Publisher:
Zielona Góra: Uniwersytet Zielonogórski
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Source:
IJAME, volume 18, number 3 (2013)
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License CC BY-NC-ND 4.0:
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Biblioteka Uniwersytetu Zielonogórskiego
Object collections:
- Digital Library of Zielona Góra > Repository > Faculties > Faculty of Mechanical Engineering
- Digital Library of Zielona Góra > Repository > Types of work > Articles
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME)
- Digital Library of Zielona Góra > Repository > Scientific journals and UZ publishing series > International Journal of Applied Mechanics and Engineering (IJAME) > International Journal of Applied Mechanics and Engineering (IJAME) (2013)
Last modified:
Jul 6, 2023
In our library since:
Apr 26, 2023
Number of object content hits:
79
All available object's versions:
https://zbc.uz.zgora.pl/publication/81464
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International Journal of Applied Mechanics and Engineering (IJAME)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 20 (2015)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 19 (2014)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18, number 1 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18, number 2 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18, number 3 (2013)
- International Journal of Applied Mechanics and Engineering (IJAME), volume 18, number 3 (2013) - Contents
- Variable gravity effects on thermal instability of nanofluid in anisotropic porous medium
- Radiation effects on oscillating vertical plate with uniform heat and mass flux
- Pattern of stress-strain accumulation due to a long dip-slip fault movement in a viscoelastic layered model of the lithosphere - asthenosphere system
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- A concept of the differentially driven three wheeled robot
- Unsteady two-layered fluid flow and heat transfer of conducting fluids in a channel between parallel porous plates under transverse magnetic field
- Chemical reaction effects on MHD flow past a linearly accelerated vertical plate with variable temperature and mass diffusion in the presence of thermal radiation
- Heat transfer of viscoelastic fluid flow due to non-linear stretching sheet with internal heat source
- Numerical solution of non-Newtonian fluids flow past an accelerated vertical infinite plate in the presence of free convection currents
- Flow and heat transfer at a nonlinearly shrinking porous sheet: the case of asymptotically large power-law shrinking rates
- Response of non-linear shock absorbers-boundary value problem analysis
- Interactions due to moving heat sources in generalized thermoelastic half-space using L-S model
- Effects of chemical reaction on magneto-micropolar fluid flow from a radiative surface with variable permeability
- Exact solution of MHD mixed convection periodic flow in a rotating vertical channel with heat radiation
- Hall effect on thermal instability of viscoelastic dusty fluid in porous medium
- Static, vibration and buckling analysis of skew composite and sandwich plates under thermo mechanical loading
- Effect of vertical vibrations on the onset of binary convection
- Probabilistic study of bone remodeling using finite element analysis
- Identification of steady and non-steady gait of human-exoskeleton walking system
- Non-perturbative solution for hydromagnetic flow over a linearly stretching sheet
- Mass transfer with chemical reaction on flow past an accelerated vertical plate with variable temperature and thermal radiation
- A new analytical procedure for solving the non-linear differential equation arising in the stretching sheet problem
- Projective synchronization of chaotic systems via backstepping design
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18, number 4 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 18, number 1 (2013)
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International Journal of Applied Mechanics and Engineering (IJAME), volume 29 (2024)
