2012
DOI: 10.1177/0957650912446402
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A theory of Tesla disc turbines

Abstract: In the present article, a mathematical theory for the flow field within a Tesla disc turbine has been formulated in the appropriate cylindrical co-ordinate system. The basis of the theory is the Navier–Stokes equations simplified by a systematic order of magnitude analysis. The presented theory can compute three-dimensional variation of the radial velocity, tangential velocity and pressure of the fluid in the flow passages within the rotating discs. Differential equations as well as closed-form analytical rela… Show more

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Cited by 48 publications
(56 citation statements)
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References 23 publications
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“…A one-dimensional analysis method of flow field in the disc channel is proposed with some hypotheses, and the model agrees well with previous experimental performance data [18]. Sengupta and Guha formulated a mathematical theory by simplifying the Navier-Stokes equations using a magnitude analysis method, which can assess the turbine performance [19][20][21]. Talluri et al developed a new method for designing of a Tesla turbine for Organic Rankine Cycle (ORC) applications, in which almost all losses are considered using real gas physical properties [22].…”
Section: Introductionsupporting
confidence: 71%
“…A one-dimensional analysis method of flow field in the disc channel is proposed with some hypotheses, and the model agrees well with previous experimental performance data [18]. Sengupta and Guha formulated a mathematical theory by simplifying the Navier-Stokes equations using a magnitude analysis method, which can assess the turbine performance [19][20][21]. Talluri et al developed a new method for designing of a Tesla turbine for Organic Rankine Cycle (ORC) applications, in which almost all losses are considered using real gas physical properties [22].…”
Section: Introductionsupporting
confidence: 71%
“…Guha and colleagues [23][24][25] provided the solution for pressure in different positions within the turbine when the bladeless turbine model is derived. The fluid pressure can be obtained by dimensionless number of differential pressure which can be expressed [23][24][25] …”
Section: Output Power and Operation Efficiencymentioning
confidence: 99%
“…O is the rotating velocity of the disk, and p 0 can be calculated according to the derivation in the literature. 23 …”
Section: Output Power and Operation Efficiencymentioning
confidence: 99%
“…Incompressible carrier fluid were employed to establish a performance relationship with other design parameters in experimental [38] and computational [33,39] studies. Additionally, a closed-form analytical solution was extracted for 2D analysis of incompressible fluid flow through rotating discs as a simplified form of TT configuration [40]. In this way, in two separate experimental-analytical studies, Rice [41,42] addressed a TT and Tesla pump/compressor, which are now considered as a benchmark work in literature.…”
Section: Introductionmentioning
confidence: 99%