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## Effects of uniform radial electric field on the MHD and heat transfer due to a shrinking stretching rotating disk

#### Nihan Uygun Ercan [1]

Flow and heat transfer of an incompressible electrically conducting fluid on radially shrinking/stretching rotating disk in presence of uniform magnetic field are studied in the present paper. The problem is an extension of the well-known von Karman viscous pump problem to the configuration with a shrinkable/stretchable disk with or without rotation. Navier-Stokes equations, Maxwell equation and energy equation have been modied in presence of uniform radial electric field and magnetic field. The governing partial differential equations have been transformed into ordinary differential form by using similarity transformations. The system of equations generated by Navier-Stokes, Maxwell and energy equations has been solved by using Chebyshev collocation technique for varying values of radial electric, magnetic interaction parameters, Eckert and rotation numbers. Accuracy of the method is verified through comparing results in the literature. Effects of parameters in the governing equations are depicted graphically and are analyzed.
Electric potential, Radial shrinking, Radial stretching, MHD flow, Heat transfer
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Primary Language en Mathematics August 2019 Research Articles Orcid: 0000-0001-2345-6789Author: Nihan Uygun Ercan (Primary Author)Institution: ABANT IZZET BAYSAL UNIVERSITYCountry: Turkey Application Date : October 1, 2018 Acceptance Date : February 4, 2019 Publication Date : August 1, 2019
 Bibtex @research article { saufenbilder466151, journal = {Sakarya University Journal of Science}, issn = {1301-4048}, eissn = {2147-835X}, address = {}, publisher = {Sakarya University}, year = {2019}, volume = {23}, pages = {588 - 599}, doi = {10.16984/saufenbilder.466151}, title = {Effects of uniform radial electric field on the MHD and heat transfer due to a shrinking stretching rotating disk}, key = {cite}, author = {Uygun Ercan, Nihan} } APA Uygun Ercan, N . (2019). Effects of uniform radial electric field on the MHD and heat transfer due to a shrinking stretching rotating disk. Sakarya University Journal of Science , 23 (4) , 588-599 . DOI: 10.16984/saufenbilder.466151 MLA Uygun Ercan, N . "Effects of uniform radial electric field on the MHD and heat transfer due to a shrinking stretching rotating disk". Sakarya University Journal of Science 23 (2019 ): 588-599 Chicago Uygun Ercan, N . "Effects of uniform radial electric field on the MHD and heat transfer due to a shrinking stretching rotating disk". Sakarya University Journal of Science 23 (2019 ): 588-599 RIS TY - JOUR T1 - Effects of uniform radial electric field on the MHD and heat transfer due to a shrinking stretching rotating disk AU - Nihan Uygun Ercan Y1 - 2019 PY - 2019 N1 - doi: 10.16984/saufenbilder.466151 DO - 10.16984/saufenbilder.466151 T2 - Sakarya University Journal of Science JF - Journal JO - JOR SP - 588 EP - 599 VL - 23 IS - 4 SN - 1301-4048-2147-835X M3 - doi: 10.16984/saufenbilder.466151 UR - https://doi.org/10.16984/saufenbilder.466151 Y2 - 2019 ER - EndNote %0 Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi Effects of uniform radial electric field on the MHD and heat transfer due to a shrinking stretching rotating disk %A Nihan Uygun Ercan %T Effects of uniform radial electric field on the MHD and heat transfer due to a shrinking stretching rotating disk %D 2019 %J Sakarya University Journal of Science %P 1301-4048-2147-835X %V 23 %N 4 %R doi: 10.16984/saufenbilder.466151 %U 10.16984/saufenbilder.466151 ISNAD Uygun Ercan, Nihan . "Effects of uniform radial electric field on the MHD and heat transfer due to a shrinking stretching rotating disk". Sakarya University Journal of Science 23 / 4 (August 2019): 588-599 . https://doi.org/10.16984/saufenbilder.466151 AMA Uygun Ercan N . Effects of uniform radial electric field on the MHD and heat transfer due to a shrinking stretching rotating disk. SAUJS. 2019; 23(4): 588-599. Vancouver Uygun Ercan N . Effects of uniform radial electric field on the MHD and heat transfer due to a shrinking stretching rotating disk. Sakarya University Journal of Science. 2019; 23(4): 599-588.