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The radius spectrum of solid grains settling in gaseous giant protoplanets

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Abstract

Growth of grains having different initial sizes (10−3 cm ≤ r 0 ≤ 1 cm) has been investigated by coagulation processes inside gas giant protoplanets, formed by disk instability, in the mass range 0.3 to 10 Jovian masses. In doing so, we have determined distribution of thermodynamic variables inside the protoplanets and using the results we have determined growth of the grains having assumed initial sizes. Regarding the transference of heat inside the protoplanets, we have considered the possible two cases of interest, namely convection and conduction-radiation. The results of our calculation show that growth of the grains depends on protoplanetary masses and on initial states of the protoplanets and eventually all the grains having assumed different initial sizes acquire almost the same distribution in the central regions of respective protoplanets in the respective cases.

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Acknowledgment

We wish to thank the anonymous referee for the constructive suggestions and helpful comments that have critically improved the present paper. The authors also wish to thank Professor Shishir Kumar Bhattacharjee and Professor Morris Podolak for fruitful discussions and helpful suggestions.

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Authors and Affiliations

  1. Department of Mathematics, University of Rajshahi, Rajshahi, 6205, Bangladesh

    G. C. Paul & M. C. Barman

  2. Department of Mathematics, Shahjalal University of Science & Technology, Sylhet, 3114, Bangladesh

    M. M. Rahman

  3. Department of Mathematics, Bangabandhu Sheikh Mujibur Rahman Science & Technology University, Gopalganj, 8100, Bangladesh

    D. Kumar

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  1. G. C. Paul
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  2. M. M. Rahman
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  3. D. Kumar
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  4. M. C. Barman
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Correspondence to G. C. Paul.

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Communicated by: H. A. Babaie

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Paul, G.C., Rahman, M.M., Kumar, D. et al. The radius spectrum of solid grains settling in gaseous giant protoplanets. Earth Sci Inform 6, 137–144 (2013). https://doi.org/10.1007/s12145-013-0117-3

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  • DOI: https://doi.org/10.1007/s12145-013-0117-3

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