Preprints
https://doi.org/10.5194/wes-2023-55
https://doi.org/10.5194/wes-2023-55
07 Jun 2023
 | 07 Jun 2023
Status: this preprint has been withdrawn by the authors.

Brief communication: Betz’s Law: the Zorich Derivation

Richard Zorich

Abstract. In this article, Betz’s law is derived in a new way. A power equation is constructed by accounting for the forces that a machine applies to the air mass that flows through it. By comparing that power equation to the available power in the wind, Betz’s law is validated.

This preprint has been withdrawn.

Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this preprint. The responsibility to include appropriate place names lies with the authors.
Richard Zorich

Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on wes-2023-55', Alois Schaffarczyk, 13 Jun 2023
    • AC1: 'Reply on RC1', Richard Zorich, 15 Jun 2023
    • AC2: 'Reply on RC1', Richard Zorich, 15 Jun 2023
    • AC4: 'Reply on RC1', Richard Zorich, 04 Jul 2023
  • RC2: 'Comment on wes-2023-55', Anonymous Referee #2, 01 Jul 2023
    • AC3: 'Reply on RC2', Richard Zorich, 02 Jul 2023
    • AC5: 'Reply on RC2', Richard Zorich, 04 Jul 2023

Interactive discussion

Status: closed

Comment types: AC – author | RC – referee | CC – community | EC – editor | CEC – chief editor | : Report abuse
  • RC1: 'Comment on wes-2023-55', Alois Schaffarczyk, 13 Jun 2023
    • AC1: 'Reply on RC1', Richard Zorich, 15 Jun 2023
    • AC2: 'Reply on RC1', Richard Zorich, 15 Jun 2023
    • AC4: 'Reply on RC1', Richard Zorich, 04 Jul 2023
  • RC2: 'Comment on wes-2023-55', Anonymous Referee #2, 01 Jul 2023
    • AC3: 'Reply on RC2', Richard Zorich, 02 Jul 2023
    • AC5: 'Reply on RC2', Richard Zorich, 04 Jul 2023
Richard Zorich
Richard Zorich

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This preprint has been withdrawn.

Short summary
Betz’s law states that the maximum efficiency of a wind-powered machine is 59 %. Betz disregards viscosity in order to use Bernoulli’s principle in his derivation. Assuming inviscid flow leads to a useful model. In contrast with Betz’s approach, my derivation, recognizes the key role that viscosity plays in the interaction of a wind-powered machine with the atmosphere. It is my belief that my model gives us better understanding of how a machine captures energy from the wind.
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