Numerical analysis for steady boundary layer flow of Maxwell fluid over a stretching surface embedded in a porous medium with viscous dissipation using the spectral relaxation method

References

• Abo-Eldahab, E. M., and M. A. El Aziz. 2005. “Viscous Dissipation and Joule Heating Effects on MHD-Free Convection from a Vertical Plate with Power-law Variation in Surface Temperature in the Presence of Hall and Ion-Slip Currents.” Applied Mathematical Modelling 29: 579–595.
   Web of Science ®Google Scholar
• Alkam, M. K., and M. A. Al-Nimr. 1999. “Improving the Performance of Double-Pipe Heat Exchangers by Using Porous Substrates.” International Journal of Heat and Mass Transfer 42: 3609–3618.
   Web of Science ®Google Scholar
• Aydin, O., and A. Kaya. 2007. “Mixed Convection of a Viscous Dissipating Fluid About a Vertical Flat Plate.” Applied Mathematical Modelling 31: 843–853.
   Web of Science ®Google Scholar
• Aydin, O., and A. Kaya. 2009. “MHD Mixed Convection of a Viscous Dissipating Fluid About a Permeable Vertical Flat Plate.” Applied Mathematical Modelling 33: 4086–4096.
   Web of Science ®Google Scholar
• Basu, T., and D. N. Roy. 1985. “Laminar Heat Transfer in a Tube with Viscous Dissipation.” International Journal of Heat and Mass Transfer 28: 699–701.
   Web of Science ®Google Scholar
• Brinkman, H. C. 1951. “Heat Transfer in Capillary Flow I.” Applied Scientific Research 2 (1): 120–124.
   Google Scholar
• Canuto, C., M. V. Hussaini, A. Quarteroni, and T. A. Zang. 1988. Spectral Methods in Fluid Dynamics. Berlin: Springer.
   Google Scholar
• Desale, Satish, and V. H. Pradhan. 2015. “ Numerical Solution of Boundary Layer Flow Equation with Viscous Dissipation Effect Along a Flat Plate with Variable Temperature.” Procedia Engineering 127: 846–853.
   Google Scholar
• Gangadhar, K. 2015. “Radiation, Heat Generation and Viscous Dissipation Effects on MHD Boundary Layer Flow for the Blasius and Sakiadis Flows with a Convective Surface Boundary Condition.” Journal of Applied Fluid Mechanics 8 (3): 559–570.
   Web of Science ®Google Scholar
• Gangadhar, K. 2016. “Radiation and Viscous Dissipation Effects on Laminar Boundary Layer Flow Nanofluid Over a Vertical Plate with a Convective Surface Boundary Condition with Suction.” Journal of Applied Fluid Mechanics 9 (4): 2097–2103.
   Web of Science ®Google Scholar
• Gangadhar, K., T. Kannan, K. DasaradhaRamaiah, and G. Sakthivel. 2018a. “Boundary Layer Flow of Nanofluids to Analyse the Heat Absorption/Generation Over a Stretching Sheet with Variable Suction/Injection in the Presence of Viscous Dissipation.” International Journal of Ambient Energy. doi:10.1080/01430750.2018.1501738.
   Web of Science ®Google Scholar
• Gangadhar, K., T. Kannan, G. Sakthivel, and K. DasaradhaRamaiah. 2018b. “Unsteady Free Convective Boundary Layer Flow of a Nanofluid Past a Stretching Surface Using a Spectral Relaxation Method.” International Journal of Ambient Energy. doi:10.1080/01430750.2018.1472648.
   Web of Science ®Google Scholar
• Gorla, R. S. R., and I. Sidawi. 1994. “ Free Convection on a Vertical Stretching Surface with Suction and Blowing.” Applied Scientific Research 52 (3): 247–257.
   Google Scholar
• Hassan, M., M. Marin, Abdullah Alsharif, and R. Ellahi. 2018. “Convective Heat Transfer Flow of Nanofluid in a Porous Medium Over Wavy Surface.” Physics Letters A. doi:10.1016/j.physleta.2018.06.026.
   PubMed Web of Science ®Google Scholar
• Huang, Z. F., A. Nakayama, K. Yang, C. Yang, and W. Liu. 2010. “Enhancing Heat Transfer in the Core Flow by Using Porous Medium Insert in a Tube.” International Journal of Heat and Mass Transfer 53: 1164–1174.
   Web of Science ®Google Scholar
• Ingham, D. B., and I. Pop. 2005. Transport Phenomena in PorousMedia. Oxford: Elsevier.
   Google Scholar
• Khaled, A. R. A., and K. Vafai. 2003. “The Role of Porous Media in Modeling Flow and Heat Transfer in Biological Tissues.” International Journal of Heat and Mass Transfer 46: 4989–5003.
   Web of Science ®Google Scholar
• Khan, W. A., and I. Pop. 2010. “ Boundary-Layer Flow of a Nanofluid Past a Stretching Sheet.” International Journal of Heat and Mass Transfer 53 (11–12): 2477–2483.
   Web of Science ®Google Scholar
• Lin, F. C., B. H. Liu, C. C. Juan, and Y. M. Chen. 2011. “Effect of Pore Size Distribution in Bidis-Perse Wick on Heat Transfer in a Loop Heat Pipe.” Heat and Mass Transfer = Warme- Und Stoffubertragung 47: 933–940.
   Web of Science ®Google Scholar
• Malik, R., M. Khan, A. Shafiq, M. Mushtaq, and M. Hussain. 2017. “ An Analysis of Cattaneo-Christov Double-Diffusion Model for Sisko Fluid Flow with Velocity Slip.” Results in Physics 7: 1232–1237.
   Web of Science ®Google Scholar
• Mamun, A. A., Z. R. Chowdhury, M. A. Azim, and M. M. Molla. 2008. “MHD-conjugate Heat Transfer Analysis for a Vertical Flat Plate in Presence of Viscous Dissipation and Heat Generation.” International Communications in Heat and Mass Transfer 35: 1275–1280.
   Web of Science ®Google Scholar
• Mohammed Ibrahim, S., K. Gangadhar, and N. Bhaskar Reddy. 2015. “Radiation and Mass Transfer Effects on MHD Oscillatory Flow in a Channel Filled with Porous Medium in the Presence of Chemical Reaction.” Journal of Applied Fluid Mechanics 8 (3): 529–537.
   Web of Science ®Google Scholar
• Motsa, S. S. 2014. “A New Spectral Relaxation Method for Similarity Variable Nonlinear Boundary Layer Flow Systems.” Chemical Engineering Communications 201 (2): 241–256.
   Web of Science ®Google Scholar
• Neild, D. A., and A. Bejan. 2006. Convection in PorousMedia. 3rd edition. New York, NY, USA: Springer.
   Google Scholar
• Othman, M. I. A., and M. Marin. 2017. “Effect of Thermal Loading due to Laser Pulse on Thermoelastic Porous Medium Under G–N Theory.” Results in Physics 7: 3863–3872.
   Web of Science ®Google Scholar
• Ozgums, T., and M. Mobedi. 2015. “Effect of Pore to Throat Size Ratio on Interfacial Heat Transfer Coefficient of Porous Media.” Journal of Heat Transfer137: 012602.
   Web of Science ®Google Scholar
• Pantokratoras, A. 2005. “Effect of Viscous Dissipation in Natural Convection Along a Heated Vertical Plate.” Applied Mathematical Modelling 29: 553–564.
   Web of Science ®Google Scholar
• Raju, C. S. K., R. V. M. S. S. Kiran Kumar, S. V. K. Varma, A. G. Madaki, and P. Durga Prasad. 2017. “Transpiration Effects on MHD Flow Over a Stretched Cylinder with Cattaneo-Christov Heat Flux with Suction or Injection.” Arabian Journal for Science and Engineering 43 (5): 2273–2280.
   Web of Science ®Google Scholar
• Shirvan, Kamel Milani, R. Ellahi, Mojtaba Mamourian, and Soroush Mirzakhanlar. 2016. “Enhancement of Heat Transfer and Heat Exchanger Effectiveness in a Double Pipe Heat Exchanger Filled with Porous Media: Numerical Simulation and Sensitivity Analysis of Turbulent Fluid Flow.” Applied Thermal Engineering 109: 761–774.
   Web of Science ®Google Scholar
• Siri, Z., Nor Artisham Che Ghani, and Ruhaila Md. Kasmani. 2018. “ Heat Transfer Over a Steady Stretching Surface in the Presence of Suction.” Boundary Value Problems 2018: doi:126. 10.1186/s13661-018-1019-6.
   Web of Science ®Google Scholar
• Sumirat, Iwan, Y. Ando, and S. Shimamura. 2006. “Theoretical Consideration of the Effect of Porosity on Thermal Conductivity of Porous Materials.” Journal of Porous Materials 13: 439–443.
   Web of Science ®Google Scholar
• Trefethen, L. N. 2000. Spectral Methods in MATLAB. Philadelphia: SIAM.
   Google Scholar
• Tyagi, V. P. 1996. “Laminar Forced Convection of a Dissipative Fluid in a Channel.” Journal of Heat Transfer 88: 161–169.
   Web of Science ®Google Scholar
• Venkata Subba Rao, M., K. Gangadhar, and P. L. N. Varma. 2017. “On Spectral Relaxation Approach for Unsteady Boundary Layer Flow of Casson Fluid and Heat Transfer Analysis Past a Bidirectional Stretching Surface Due to Transverse Magnetic Field with Thermal Radiation.” Journal of Advanced Research in Dynamical and Control Systems 9 (16): 374–391.
   Google Scholar
• Venkata Subba Rao, M., K. Gangadhar, and P. L. N. Varma. 2018. “A Spectral Relaxation Method for Three-Dimensional MHD Flow of Nanofluid Flow Over an Exponentially Stretching Sheet Due to Convective Heating: An Application to Solar Energy.” Indian Journal of Physics 92 (12): 1577–1588.
   Web of Science ®Google Scholar
• Wang, C. Y. 1989. “ Free Convection on a Vertical Stretching Surface.” Journal of Applied Mathematics and Mechanics 69 (11): 418–420.
   Google Scholar