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Boundary layer flow past a stretching sheet with fluid-particle suspension and convective boundary condition

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Abstract

The steady two-dimensional boundary layer flow of a viscous dusty fluid over a stretching sheet with the bottom surface of the sheet heated by convection from a hot fluid is considered. The governing partial differential equations are transformed into ordinary differential equations using a similarity transformation, before being solved numerically by a Runge–Kutta–Fehlberg fourth-fifth order method (RKF45 Method) with the help of MAPLE. The effects of convective Biot number, fluid particle interaction parameter, and Prandtl number on the heat transfer characteristics are discussed. It is found that the temperature of both fluid and dust phase increases with increasing Biot number. A comparative study between the previous published and present results in a limiting sense is found in an excellent agreement.

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Abbreviations

Bi :

Biot number

c :

Stretching rate

c s :

Specific heat of the particles

c p :

Specific heat of the fluid (J kg−1 K)

f :

Dimensionless stream function

F :

Particle velocity component

h f :

Heat transfer coefficient

K :

Stokes’ resistances

k :

Thermal conductivity (Wm−1 K)

m :

Mass of the dust particles

Pr:

Prandtl number

T :

Temperature of the fluid (K)

T f :

Hot fluid temperature (K)

T :

Temperature at large distance (K)

T p :

Temperature of the dust Particles (K)

u, v :

Velocity components of the fluid along x and y directions (ms−1)

u p , v p :

Velocity components of the dust particle along x and y directions (ms−1)

x, y :

Cartesian co-ordinates (m)

β :

Fluid particle interaction parameter

ρ :

Density of the fluid (kg m−3)

ρ p :

Density of the dust particles (kg m−3)

ρ r :

Relative density

η :

Similarity variable (m)

θ :

Dimensionless fluid temperature

θ p :

Dimensionless dust phase temperature

μ :

Viscosity of the fluid (Ns m−2)

τ :

Relaxation time of the particle phase

L 0 :

Thermal relaxation time

ω :

Density ratio

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Acknowledgments

The authors wish to express their very sincere thanks to all the reviewers for their valuable comments and suggestions.

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Correspondence to Rama Subba Reddy Gorla.

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Ramesh, G.K., Gireesha, B.J. & Gorla, R.S.R. Boundary layer flow past a stretching sheet with fluid-particle suspension and convective boundary condition. Heat Mass Transfer 51, 1061–1066 (2015). https://doi.org/10.1007/s00231-014-1477-z

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