A short note on the drag correlation for spheres

Turton, Richard; Levenspiel, Octave

doi:10.1016/0032-5910(86)80012-2

Cited by 370 publications

(133 citation statements)

References 20 publications

Supporting

Mentioning

118

Contrasting

Unclassified

Order By: Relevance

“…Because, such a calculation can be very demanding, a more convenient and commonly used method is to use some form of empirical correlation for the drag coefficient of the particle. Figure 5 shows a comparison of sphere drag coefficient empirical correlations proposed by various authors [18][19][20][21][22][23][24][25][26]. As evident from the figure, all of the correlations agree up to a Re 1000.…”

Section: Particle Trajectory Analysismentioning

confidence: 90%

Analysis Method for Inertial Particle Separator

Saeed

Al-Garni

2007

Journal of Aircraft

View full text Add to dashboard Cite

This paper describes an analysis method for an inertial particle separator system modeled as a multi-element airfoil configuration. The analysis method is implemented in a numerical tool that is able to perform impingement analysis using spherical, nonspherical particles as well as water droplets for a range of Reynolds number (10 4 Re 5 10 5 ). A limitations of the analysis tool is that it lacks an appropriate particle rebound model for the treatment of particle-wall collisions. The usefulness of the analysis tool is its use in conjunction with a multipoint inverse design tool for the design of a multi-element airfoil based inertial particle separator system model in an inverse fashion as opposed to the direct design methods being employed currently for this task. With such a design and analysis tool at hand, the design space can be explored as well as tradeoff studies can be performed that can aid in the development of a more efficient design methodology for multi-element airfoil based inertial particle separator systems.= Runge-Kutta coefficients used to integrate the momentum equation l 0 ; n 0 = trajectory direction vector l 1 ; n 1 = airfoil panel plane direction vector m p = particle mass, p V p n = surface normal vector p = ambient pressure Re = Reynolds number based on particle diameter, a D eq U= a r p = particle position r p;i x p;i ; z p;i = particle current position during trajectory integration r p;i1 x p;i1 ; z p;i1 = particle new position during trajectory integration S = particle surface projection on the U * perpendicular plane S p = particle surface area s = airfoil panel surface arc length,= trajectory parametric equation parameter t 1 , t 2 = airfoil panel parametric equation parameters U = magnitude of particle relative velocity in body reference frame, jUj U = particle relative velocity in body reference frame, V a V p U 0 = initial particle relative velocity in body reference frame V a = freestream velocity in body reference frame, u a i w a k V i u i ; w i = current particle velocity during the trajectory integration V i1 u i1 ; w i1 = new particle velocity during the trajectory integration V p = particle volume V p = particle velocity in body reference frame, dr p =dt V 1 = unperturbed freestream velocity in wind reference frame, u 1 i w 1 k V 0 a = initial freestream velocity in body reference frame V 0 p = initial particle velocity in body reference frame u= axes in wind reference frame x p ; z p = axes in body reference frame x 0 ; z 0 = initial particle location in wind reference frame x 1 ; z 1 , x 2 ; z 2 = airfoil panel coordinates z = pressure head = geometric angle of attack with respect to airfoil chord line = impingement efficiency, dz 0 =ds x = step along the x axis z = step along the z axis = angle between the z p axis and z axis a = ambient air viscosity a = ambient air density p = particle mass density = time step in Runge-Kutta integration = shear stress = shape factor

show abstract

Section: Particle Trajectory Analysismentioning

confidence: 90%

Analysis Method for Inertial Particle Separator

Saeed

Al-Garni

2007

Journal of Aircraft

View full text Add to dashboard Cite

show abstract

“…The calculation of the terminal velocity follows the approach suggested by Turton et al 7) For convenience, a dimensionless particle diameter defined in equation (2) and a dimensionless terminal velocity defined in equation (3) are calculated to estimate the terminal velocity of a single particle settling in the fluid.…”

Section: Theoretical Modelmentioning

confidence: 99%

Theoretical and Experimental Testing of a Scaling Rule for Predicting Segregation in Differently Sized Silos

Zigan

Patel

2013

KONA

View full text Add to dashboard Cite

show abstract

“…A fairly simple correlating equation for the non-Stokesiz& comection has been suggested by Turton and Levenspiel (1986) (2.6) and Ivp-q = [(UP-U)2+(VP-U)2+(WP-W)2]1'2. (2.7) and u, V,and w are the x, y, and z components of velocity for the fluid (no subscript) and the particle (subscript p).…”

Section: Review Of Particle Forcesmentioning

confidence: 99%

Particle Transport in Parallel-Plate Reactors

Rader¹,

Geller²

1999

View full text Add to dashboard Cite

A short note on the drag correlation for spheres

Cited by 370 publications

References 20 publications

Analysis Method for Inertial Particle Separator

Analysis Method for Inertial Particle Separator

Theoretical and Experimental Testing of a Scaling Rule for Predicting Segregation in Differently Sized Silos

Particle Transport in Parallel-Plate Reactors

Contact Info

Product

Resources

About