Introduction

The alloying components added to the aluminum further improve the properties of the material, making it superior to other metals. Aluminum and aluminum alloys are the most important metal group after iron-based materials in the world. It is also the most used among light metals both in pure form and in alloys (Ref 1,2,3,4,5,6,7,8,9,10). Aluminum alloys composed with the addition of copper, silicon, iron, zinc, magnesium, manganese, nickel, titanium and many others to the aluminum. One or a combination of those cited elements can be used to form these alloys. Alloying elements added to aluminum can be classified with their supplemental properties as castability, mechanical strength, chemical stability, workability, thermal expansion, thermal conductivity and heat resistance (Ref 1). The physical properties of the Al-Mn alloy formed with alloying elements as Cu, Si, Fe by solidifying it in a controlled directionally form in either fast or cast form by Bridgman-type furnace have been reported in the literature, but the results differ from each other (Ref 11,12,13,14,15,16).

In equilibrium conditions at 927.14 K, the maximum solubility of Fe in Al is 0.046 wt.% Fe. In Fe-containing alloys, the maximum solubility of Mn may be approximately half that of binary Al-Mn alloys (Ref 17). Binary alloys have a limited application area, because commercial Al alloys always contain appreciable amounts of Fe, which significantly affects the microstructure. Intermetallic compounds (IMCs) formed during solidification due to the more tendency of the Fe atoms to segregate contain relatively more Fe than Mn. This is called inverse segregation of Fe due to the gravity (Ref 18,19,20). Information on IMC phase structures formed in Al-rich Al-Mn-Fe ternary alloy has been reported in detail in some previous studies (Ref 7,8,9). The IMC phases according to the Fe:Mn ratios are defined as Al3 (Fe, Mn) or Al6 (Mn, Fe). The microstructures containing IMC phase/phases play a significant role on the physical properties of the material (Ref 8). Therefore, the Al-Mn-Fe alloy is an important commercial aluminum alloy. It has been used in many industrial sectors (such as packaging (Al foil), architectural plate, lithography plate, air-conditioning and insulation), especially in the rapidly growing aluminum heat exchanger sector (Ref 21, 22). In this study, the physical properties have been investigated depending on growth velocities in the Al-1.9Mn-5Fe (wt.%) ternary eutectic alloy, which has commercial and industrial importance (Ref 23,24,25). Since the growth velocity affects the microstructure significantly, it is an inevitable fact that the mechanical, thermal and electrical properties of the studied alloy are affected by the solidification conditions. Indeed, thermophysical properties like molar heat capacity, thermal conductivity, electrical conductivity, latent heat, transformation heat, all depend on the nucleation rate (Ref 26). Directional solidification of the Al-1.9Mn-5Fe ternary alloy under certain conditions is an important issue in obtaining the fine-grained microstructure required for the desired favorable material properties. Still very limited work has reported systematically about the influences of the growth velocity and cooling rate on the modification of Al-Mn and Al-Mn-Fe alloys. The aim of present study was experimentally investigate the effect of growth velocity (V) on the microstructure, mechanical and electrical properties of Al-1.9Mn-5Fe ternary alloy. And also, another aim is to determination of the relationships among V, λ, HV, σU and ρ.

Experimental Procedures

Alloy Preparation, Solidification and Metallographic Processes

Al-1.9Mn-5Fe alloy was produced under a vacuum atmosphere by using 99.99% purity Al, Mn and Fe metals taking into account the phase diagram (Ref 27). All chemical compositions are given in weight percent (wt.%) throughout this paper. Solidification of the samples was carried out with different V (from 8.3 to 978 μm/s) at a constant G (6.7 K/mm), in a Bridgman-type furnace. After about 10 cm of solidification, the samples were quenched by rapidly pulling it down into the water reservoir. After quenching the samples, they were subjected to standard metallography process such as cutting, grinding, polishing (with 3, 1 and 0.25 μm diamond pasts) and etching (10 mL sulfuric, 5 mL hydrofluoric acid and 85 mL H2O for 15 s at room temperature). More details of the experimental procedures are given in (Ref 2, 5).

Measurements of Eutectic Spacing (λ), Microhardness (HV) and Tensile Strength (σ)

Different methods have been used to measure of eutectic spacings (λL, λT) on the microstructure. Measurements of the eutectic spacings were made from both the longitudinal (λL) and transverse section (λT) of the samples by using linear intersection method. The details of the eutectic spacing measurements are given based on the features described in the previous study (Ref 28). The microhardness measurements were performed a digital microhardness test apparatus. In the microhardness measurements, approximately twenty measurements were made from different regions on both the longitudinal section and the transverse section of the directionally solidified sample at each V value and their average values were used for statistical reliability. Tensile strength tests were made with a fully automatic testing apparatus adjustable to different strain rates. In these tests, cylindrical samples with a length of 60 mm and a diameter of 4 mm were prepared and subjected to tensile testing at a strain rate of 10−3 s−1. For statistical reliability, this test was repeated three times for each V value and the average value was used (more details are provided in Ref 29).

Measurements of Electrical Resistivity (ρ)

In this study, the “Four Point Probe Method” was used to measure the ρ of studied alloy. To determine the dependence of ρ on V at room temperature (R.T.), ρ measurements were made on the longitudinal section of the solidified samples with different V. Also, ρ measurements were carried out depending on the temperature.

Prediction of Thermal Conductivity (K)

The relationship between the K and σ has been suggested by Wiedemann–Franz (W–F) (Ref 30). Later, the modification of the W–F equation was developed by Smith–Palmer (S–P) (Ref 31). The variations of K with T were predicted from the W–F (K = σLT) and S–P (K = 0.909 σLT + 10.5) equations by using the measured values of electrical resistivity (ρ = 1/σ). L is the Lorenz constant and its value is 2.45 × 10−8 W Ω/K2. The details of ρ measurements and predicted K values were described in (Ref 32).

Results and Discussion

Composition Analysis of the Phases

EDX analysis was performed to determine the composition of the phases in the Al-1.9Mn-5Fe alloy at 20 keV using the x-ray lines (LEO 440 model). According to EDX spectrums as shown in Fig. 1 and the quantity of components in each phases, black rod eutectic phase (white rectangular frame), quenched liquid phase (yellow rectangular frame), gray phase (blue rectangular frame) and white plate phase (dark rectangular frame) were identified as Al6Fe intermetallic phase (rod-like eutectic), Al-rich α-Al phase, solid Al phase and Al6FeMn intermetallic phase (plate-like eutectic), respectively. The composition of α-Al phase (Al-1Mn-4.6Fe) is close to nominal composition (Al-1.9Mn-5Fe). The main phase and intermetallic phases were confirmed by XRD analysis in the previous work of Çadırlı et al.(Ref 29).

Fig. 1
figure 1

Chemical composition analysis of Al-1.9Mn-5Fe alloy with the EDX (a) longitudinal section, (b) transverse section

The Effect of V on λ

Figure 2 shows the eutectic microstructures of the studied alloy. The eutectic spacings were measured from both the longitudinal and transverse sections of samples. As seen from Fig. 2, microstructure is usually rod eutectic (Al6Fe IMC’s) form on longitudinal sections of the samples (Fig. 2a, c, e). However, plate-like eutectic (Al6FeMn IMC’s) fibers (Fig. 2b, d, f) were frequently observed in the microstructure (transverse section) of the studied alloy. With increasing the growth velocity (8.3-978 μm/s) at a constant G (6.7 K/mm), grain size of eutectic fibers (Al6FeMn and Al6Fe IMC’s) and the spacings between them reduced and microstructure highly refined (Fig. 2e, f). As seen in Fig. 3, when the V was increased from 8.3 to 978 μm/s, the λL value decreased from 12.7 to 2.5 μm and the λT value decreased from 11.9 to 1.5 μm. The relationships between λL, λT and V were obtained by binary regression analysis and are given in Table 1. The exponent values of the V for λL and λT are 0.34 and 0.43, respectively. The exponent value of the V (0.43) for λT is in good agreement with values reported by different researchers (Ref 33,34,35,36,37).

Fig. 2
figure 2

SEM photographs of microstructures formed under different growth velocities (V = 8.3-978 μm/s) at constant temperature gradient (G = 6.7 K/mm) for directionally solidified Al-1.9Mn-5Fe alloy (a) longitudinal section (b) transverse section (V = 8.3 µm/s, G = 6.7 K/mm), (c) longitudinal section (d) transverse section (V = 41.6 µm/s, G = 6.7 K/mm), (e) longitudinal section (f) transverse section (V = 978 µm/s, G = 6.7 K/mm)

Fig. 3
figure 3

Variation of the eutectic spacing with growth velocity

Table 1 The experimental relationships among λ, HV, σU and ρ obtained by binary regression analysis

The Effects of V and λ on HV

An increase in the V (or decrease of the λ) resulted in increased HV (Fig. 4, 5). When the V was increased from 8.3 to 978 μm/s, the HVL increased from 34.7 to 44.7 kg/mm2 and the HVT increased from 37.2 to 51.9 kg/mm2. The values of the exponential of V for HVL and HVT are found to be as 0.05 and 0.07, respectively. These values are compatible with some values available in the literature (Ref 38,39,40), but differ with some values (Ref 41,42,43,44). These differences are due to factors such as alloy composition, impurities in the sample, solidification conditions and calibration settings of the test device.

Fig. 4
figure 4

Variation of the microhardness with growth velocity

Fig. 5
figure 5

Variation of the microhardness with eutectic spacing

The Effects of V and λ on σU

Stress–strain curves for different V values and σU − V plot were given in the previous study of Çadırlı et al. (Ref 29). While increasing σU with increasing V, elongation values (δ) tended to decrease. While the V increases from 8.3 to 978 μm/s, the values of σU increased from 153.9 to 192.3 MPa, but δ values decreased from 0.90 to 0.39% (Table 2). The increase in HV according to increasing V is slightly larger compared to the increase in σU, which could be due to the presence of IMC phases (Al6FeMn and Al6Fe) present at the grain boundaries. By consequence, the increase in HV of the phase is more noticeable than the increase in the strength of the whole alloy. The refinement of the eutectic microstructure is remarkable locally in the phase, but the effect on the degree of reinforcement the alloy depends on its volume fraction and other phase properties (Ref 20). As can be seen from Table 1, the exponent value of V for σU is equal to 0.05. This exponent value (0.05) is close to the values reported by some researchers (Ref 38, 40). Figure 6 shows that the σU values change according to the λ values. While the value of λ decreases from 11.9 to 1.5 μm, the value of σU increases from 153.8 to 192.3 MPa. A similar trend has been reported by Shaha et al. (Ref 45). As shown in Table 1, the exponent value of λ is obtained as 0.11. This exponent value is fairly close to value of 0.12 obtained by Shabestari and Shahri (Ref 46).

Table 2 σU and δ values according to growth velocity (Ref 29)
Fig. 6
figure 6

Variation of the ultimate tensile strength with eutectic spacing

The identity, shape, size and distribution of the IMC phases are critical influences on the material properties of the alloy including HV and σU [25]. In the present study, the size of the Al6Fe and Al6FeMn eutectic fibers and the spacings between them decreased substantially with increasing V. Smaller eutectic spacings can be associated with a more homogeneous distribution of Al6Fe eutectic fibers in the Al-rich matrix phase, thus contributing to the increase in the HV and σU, as they will effectively contribute to block the dislocation movement initiated in the ductile α-Al matrix phase.

Effects of V and T on the ρ

Variation of ρ as a function of V at R.T is given in Fig. 7. The ρ value increased from 5 × 10−8 to 9 × 10−8 Ω m with the increase in V from 8.3 to 978 μm/s. Thus, the ρ value increased up to 80%. The V has been quite effective on the ρ. Relationship between V and ρ is determined by linear regression analysis. This empirical relationship is given in Table 1. The exponent value of V for ρ is obtained as 0.12. This exponent value is the same as the exponent value (0.12) reported by Engin et al. (Ref 39) for Al-6.5Ni-1.5Fe alloy.

Fig. 7
figure 7

Variation of the electrical resistivity with growth velocity at room temperature

Variation of ρ depending on T for the studied alloy in the range of 287-584 K is seen in Fig. 8. The ρ increases nearly linearly with increasing T. Namely, with increasing T from 287 to 584 K, the values of ρ increase 5 × 10−8 to 17.6 × 10−8 Ω m. The temperature coefficient of resistivity (αTCR = 4.66 × 10−3 K−1) was determined from the ρ − T curve in the temperature range of 287-584 K. The increment of ρ should be mainly attributed to the increasing of intermetallic and vacancies in the Al matrix. The ρ–T curve constitutes a typical behavior of metallic alloys. The IMC phases, impurities and vacancy defects are present within the matrix phase (α-Al). It is known that changes in the resistivity of the metals are depended by the changes to the mean time between the conduction electrons collisions which will depend on the IMC formed in matrix phase. Increased resistivity is inevitable due to the more scattering of electrons with current carriers in metals and metallic alloys, and the decrease in their mean free paths. Thus, resistivity is sensitive to initial nucleation of the IMC phases, their growth and coarsening and finally their dissolution in the matrix. The effect of impurity atoms and IMC phases played a major role in the formation of such behavior (Ref 47). Therefore, it is reasonable to conclude that mutual interaction of intermetallic phases and dislocation movement is responsible for ρ in the studied alloy.

Fig. 8
figure 8

The electrical resistivity versus temperature curve of the solidified sample under certain conditions (G = 6.7 K/mm and V = 8.3 μm/s)

Prediction of K

K values predicted from W–F (Ref 30) and S–P (Ref 31) equations by using experimental measured ρ values for each temperature are given in Fig. 9. K values in this plot are found to be in the ranges of 79-139 W/mK and 76-137 W/mK for W–F and S–P equations, respectively. The K values estimated from W–F equation are slightly higher than the K values estimated from S to P equation. A temperature increases from R.T to 577 K resulted in a decrease in the values of K up to 45%. The effect of T on ρ is much greater than K.

Fig. 9
figure 9

Variation of K values predicted from the Wiedemann–Franz and Smith–Palmer equations with temperature

Conclusions

In this work, the eutectic spacings (λL, λT), the mechanical properties (HVL, HVT, σU and δ), ρ and K of the studied alloy were investigated. The relationships between these physical properties with V and λ have been determined.

  1. 1.

    The λ values are getting smaller according to the increasing V values, and the microstructure has evolved into a finer grain structure. Therefore, the homogeneous distribution of eutectic spacings tends to improve the mechanical properties of the studied alloy.

  2. 2.

    The λL and λT decreased with increasing V. The relationships between the λL, λT and V were obtained as (λT = 29.7 V−0.43, λL = 29.6 V−0.34).

  3. 3.

    The values of HV increased significantly according to increasing V and decreasing λ values. The experimental relationships between these parameters are given as (HVT = 50 V0.07, HVL = 42.9 V0.05, HVT = 17.3 λ −0.17T , HVL = 17.5 λ −0.16L ).

  4. 4.

    The values of σU increased with increasing V and decreasing λ. Besides, elongation (δ) values decreased significantly. The experimental relationships between these parameters are given as (σU = 138.8 V0.05, σU = 203.2 λ−0.11).

  5. 5.

    The relationship between ρ and V was found to be ρ = 2 × 10−7 V0.12. Also, ρ values nearly linear increased with increasing T and αTCR was determined as 8.37 × 10−3 K−1.

  6. 6.

    The K variations with T were predicted from W–F and S–P equations by using experimentally measured ρ values in related equations. According to these predictions, K values decreased from 139 to 79 W/mK with increasing T.