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Table 2 Mars thermophysical properties relevant for dynamo activity

From: Mars core structure—concise review and anticipated insights from InSight

Symbol

Quantity

Value

Units and scale

Source

Ω

Rotational frequency

1.28126

×10−5 s −1

(Turcotte and Schubert 2002)

R i

Inner core radius

100

km

 

R o

Outer radius of convective region

1100

km

 

D

Convective region thickness

  

=R i R o

g 0

Gravitational acceleration at top of convective region

1.99

m s −2

 

α

Thermal expansivity

4.7

×10−5 K −1

(Helffrich and Kaneshima 2004) for Fe-11wt%S

T o

Temperature at top of convective region

1850

K

Rivoldini et al. (2011) adiabat

T C M B

CMB temperature

1700

K

(Rivoldini et al. 2011)

C P

Heat capacity

600

J kg −1 K −1

(Helffrich and Kaneshima 2004) for Fe-11wt%S

ρ

Density

6390

kg m −3

(Rivoldini et al. 2011)

ν

Viscosity

1

×10−6 m 2 s −1

(Christensen and Aubert 2006)

κ

Thermal diffusivity

2

×10−5 m 2 s −1

(Christensen and Aubert 2006)

k

thermal conductivity in convective region

30

W m −1 K −1

(Stacey 1992)

E

Ekman number

8.05

×10−14

=ν(Ω D 2)−1

E k

Thermal Ekman number

1.61

×10−12

=κ(Ω D 2)−1

\({Ra}_{Q,c}^{*}\)

Modified critical Rayleigh number

9.19

×10−9

=R a c E E k (Christensen and Aubert 2006);

    

R a c from Al-Shamali et al. (2004)

  1. \({Ra}_{Q,c}^{*} = {1 \over {4 \pi R_{o} R_{i}}} {{\alpha g_{0} Q_{adv}} \over {\rho C_{P} \Omega ^{3} D^{2}}}\); \(Q_{ad} = k {{\alpha g_{0} T} \over C_{P}}\). Total heat flux Q=Q a d v +Q a d ; heat flow excess to operate dynamo Q e =Q a d v /Q