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Propagation of Longitudinal Waves in Super-Radially Expanding Solar Plumes

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Part of the book series: Environmental Science and Engineering ((ENVENG))

Abstract

Recent observations indicate that coronal plumes are the preferred channels for the propagation of slow magnetosonic waves from the Sun’s poles to the corona. This problem is of relevance in solar physics because polar plumes are well observed exactly at the heights of the solar wind acceleration. In this chapter, we study the effects of the basal geometric spreading of polar plumes on the propagation of slow-mode waves up to \(r=5R_{\odot }\) by means of a non-linear analysis of the equations of hydrodynamics. We find that super-radial expansion at the base of the flux tube induces a strong dilution of the wave energy flux close to the solar surface, implying a steep decrease of the wave amplitude from the very beginning. Slow waves with periods of 7–25 min diffuse out at heights between \({\approx } {1.6}\) and \(2.4R_{\odot }\) owing to dissipation. This result is in good agreement with recent observations.

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References

  • Banerjee D, O’Shea E, Doyle JG (2000) Long-period oscillations in polar plumes as observed by CDS on SOHO. Sol Phys 196:63–78

    Article  Google Scholar 

  • Banerjee D, Teriaca L, Gupta GR, Imada S, Stenborg G, Solanski SK (2009) Propagating waves in polar coronal holes as seen by SUMER and EIS. Astron Astrophys 499:L29–L32

    Article  Google Scholar 

  • Braginskii SI (1965) Transport processes in a plasma. Rev Plasma Phys 1:205–311

    Google Scholar 

  • Cranmer SR, van Ballegooijen AA, Edgar RJ (2007) Self-consistent coronal heating and solar wind acceleration from anisotropic magnetohydrodynamic turbulence. Astrophys J Suppl Ser 171:520–551

    Article  Google Scholar 

  • Cranmer SR (2009) Coronal holes. Living Rev Sol Phys 6:3–63

    Google Scholar 

  • Cuntz M, Suess ST (2001) Shock formation of slow magnetosonic waves in coronal plumes. Astrophys J 549:L143–L146

    Article  Google Scholar 

  • Cuntz M, Suess ST (2004) Properties of longitudinal flux tube waves III. Wave propagation in solar and stellar wind flows. Astron Astrophys 424:1003–1010

    Article  Google Scholar 

  • DeForest CE, Hoeksema JT, Gurman JB, Thompson BJ, Plunkett SP, Howard R, Harrison RC, Hassler DM (1997) Polar plume anatomy: results of a coordinated observation. Sol Phys 175:393–410

    Article  Google Scholar 

  • DeForest CE, Gurman JB (1998) Observations of quasi-periodic compressive waves in solar polar plumes. Astrophys J 501:L217–L220

    Article  Google Scholar 

  • Gabriel AH, Bely-Dubau F, Lemaire P (2003) The contribution of polar plumes to the fast solar wind. Astrophys J 589:623–634

    Article  Google Scholar 

  • Gupta GR, Banerjee D, Teriaca L, Imada S, Solanski S (2010) Accelerating waves in polar coronal holes as seen by EIS and SUMER. Astrophys J 718:11–22

    Article  Google Scholar 

  • Hiei E, Takahashi N (2000) Ground-based and SOHO observations of polar plumes during eclipse. Adv Space Res 25:1887–1891

    Article  Google Scholar 

  • Matthaeus WH, Zank GP, Oughton S, Mullan DJ, Dmitruk P (1999) Coronal heating by magnetohydrodynamic turbulence driven by reflected low-frequency waves. Astrophys J 523:L93–L96

    Article  Google Scholar 

  • Morgan H, Habbal SR, Li X (2004) Hydrogen Ly\(\alpha \) intensity oscillations observed by the solar and heliospheric observatory ultraviolet coronagraph spectrometer. Astrophys J 605:521–527

    Article  Google Scholar 

  • Nakariakov VM (2005) Magnetohydrodynamic waves in coronal polar plumes. R Soc Lond Trans Ser A 364:473–483

    Article  Google Scholar 

  • Ofman L, Nakariakov VM, DeForest CE (1999) Slow magnetosonic waves in coronal plumes. Astrophys J 514:441–447

    Article  Google Scholar 

  • Ofman L, Nakariakov VM, Sehgal N (2000) Dissipation of slow magnetosonic waves in coronal plumes. Astrophys J 533:1071–1083

    Article  Google Scholar 

  • Prasad SK, Banerjee D, Gupta GR (2011) Propagating intensity disturbances in polar corona as seen from AIA/SDO. Astron Astrophys 528:L4–L8

    Article  Google Scholar 

  • Suess ST, Poletto G, Wang AH, Wu ST, Cuseri I (1998) The geometric spreading of coronal plumes and coronal holes. Sol Phys 180:231–246

    Article  Google Scholar 

  • Wang AH, Wu ST, Suess ST, Poletto G (1998) Global model of the corona with heat and momentum addition. J Geophys Res 103:1913–1922

    Article  Google Scholar 

  • Wilhelm K, Abbo L, Auchère F et al (2011) Morphology, dynamics and plasma parameters of plumes and inter-plume regions in solar coronal holes. Astron Astrophys Rev 19:35–104

    Article  Google Scholar 

Download references

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Correspondence to Leonardo Di. G. Sigalotti .

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Sigalotti, L.D.G., Guerra, J.A., Varela, H. (2014). Propagation of Longitudinal Waves in Super-Radially Expanding Solar Plumes. In: Sigalotti, L., Klapp, J., Sira, E. (eds) Computational and Experimental Fluid Mechanics with Applications to Physics, Engineering and the Environment. Environmental Science and Engineering(). Springer, Cham. https://doi.org/10.1007/978-3-319-00191-3_35

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